Loading Packages
We will start by loading some useful packages. Using the
library function, we can load these packages if they have
previously been installed in your R. If they have not been
previously installed, replace the library function with
install.packages function and place the package name in
quotation marks. That will install the package. Next, run the
library function again and it will load the package. You
only need to install a package once.
library(readxl) # Necessary for read_excel function.
library(ggplot2) # Necessary for `ggplot` function.
library(kableExtra) # Necessary for `kbl` function.
library(png) # Necessary to export as png.
library(report) # Necessary for 'sessionInfo' function.
library(reshape2)
library(dplyr)
library(Rmisc)
library(effects) # Necessary for 'allEffects' function.
library(conover.test) # Necessary for conover testsDataframe Setup
Loading Dataframes
We will set the working directory using the setwd
function. If you are looking to run this code in your computer, be sure
to change the path to your data! Normally we can load data frames using
the read.csv function. Or, we can use the
read_excel function from the readxl package
and specify the sheet number!
setwd("~/Desktop/R") # Set the working directory
Antibiotics <- read_excel("Data/Antibióticos.xlsx")
Candida <- droplevels(subset(Antibiotics, Antibiotics$bacteria == "candida"))
Antibiotics <- droplevels(subset(Antibiotics, Antibiotics$bacteria != "candida"))
Calothrix <- read.csv("Data/CalothrixMIC.csv")
Calbi <- read.csv("Data/Calbicans.csv")
PreBio <- read_excel("Data/DatosPrebiotica.xlsx", sheet = 1)
CaloGrowth <- read_excel("Data/CreciNostoc.xlsx", sheet = 1)Variable Formatting
Prior to conducting any analyses, we want to make sure that our
variables have the correct class. Often non-numerical variables imported
into R are treated as character variables. We can convert
them into factors using the as.factor function.
Antibiotics$bacteria <- as.factor(Antibiotics$bacteria)
Antibiotics$antibiotico <- as.factor(Antibiotics$antibiotico)
Antibiotics$tiempo <- as.factor(Antibiotics$tiempo)
Candida$bacteria <- as.factor(Candida$bacteria)
Candida$antibiotico <- as.factor(Candida$antibiotico)
Candida$tiempo <- as.factor(Candida$tiempo)
PreBio$tratamiento <- as.factor(PreBio$tratamiento)
PreBio$bacteria <- as.factor(PreBio$bacteria)
Calothrix$bacteria <- as.factor(Calothrix$bacteria)
Calothrix$tratamiento <- as.factor(Calothrix$tratamiento)
Calothrix$tiempo <- as.factor(Calothrix$tiempo)
#Calbi$tiempo <- as.factor(Calbi$tiempo)
Calbi$tratamiento <- as.factor(Calbi$tratamiento)
PreBio$tratamiento <- as.factor(PreBio$tratamiento)
PreBio$bacteria <- as.factor(PreBio$bacteria)
CaloGrowth <- CaloGrowth %>%
dplyr::mutate(across(c("ID", "muestra", "medio", "luz", "dia", "nitrogeno", "glucosa"), as.factor))
CaloGrowth$Fecha <- as.Date(CaloGrowth$Fecha)For the PreBio dataframe, we need to remove a few
outliers. The following should be removed:
F4Antibiotics1/8fos and, among the rh group,
all the ones with IDs starting with A, B,
C, D, and G.
PreBio2 <- PreBio %>%
filter(ID != 'F4calothrix1/8fos') %>%
filter(!ID_B %in% c('rhA', 'rhB', 'rhC', 'rhD', 'rhG'))Actually, lets remove the rh altogether.
PreBio3 <- droplevels(subset(PreBio2, PreBio2$bacteria != "rh"))For the dataframe CaloGrowth, the variable
día is not standardized. We will create a new variable
day that standardizes the levels.
CaloGrowth$Day <- CaloGrowth$dia
levels(CaloGrowth$Day) <- list(
"24" = "26",
"16" = "18",
"20" = "21",
"24" = "25",
"16" = "15",
"16" = "17",
"8" = "7",
"4" = "5",
"8" = "10",
"12" = "14",
"8" = "9",
"12" = "13",
"12" = "11",
"0" = "0",
"4" = "4",
"8" = "8",
"12" = "12",
"16" = "16",
"20" = "20",
"24" = "24")
table(CaloGrowth$Day, CaloGrowth$dia)##
## 0 4 5 7 8 9 10 11 12 13 14 15 16 17 18 20 21 24 25 26
## 24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 21 9
## 16 0 0 0 0 0 0 0 0 0 0 0 6 9 18 3 0 0 0 0 0
## 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 27 0 0 0
## 8 0 0 0 12 15 3 6 0 0 0 0 0 0 0 0 0 0 0 0 0
## 4 0 30 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 12 0 0 0 0 0 0 0 6 21 3 6 0 0 0 0 0 0 0 0 0
## 0 36 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0To express the biomass weight (peso_biomasa) in grams
per liter, we multiply it by 10.
CaloGrowth$peso_biomasa <- CaloGrowth$peso_biomasa*10Illustration
Bacteria Trial
To prepare the Antibiotics dataframe for graphing, first
we need to ammend the species names. We can do this by use of the
list function to pair the old and new names, and the
levels function to directly access the unique levels in
bacteria. We do the same process for the names of
antibiotics in the column antibiotico.
levels(Antibiotics$bacteria) <- list("E. coli" = "ecoli",
"Klebsiella sp." = "klebsiella",
"Salmonella sp." = "salmonella",
"S. aureus" = "saureus")
levels(Antibiotics$antibiotico) <- list("Azitromicina" = "azitromicina",
"Nitrofurantoina" = "nitrofurantoina",
"Norfloxacina" = "norfloxacina")Antibiotic Plot
Now, we have three different kinds of antibiotics and two
concentrations. To graph all possible combinations, we will use the
paste function to combine the data in bacteria
and concentracion into one that we will call
bacteria_conc. Next we calculate the mean and standard
error value for abs by tiempo,
antibiotico, and bacteria_conc and save it as
an object called tgc. Selecting the tiempo
column in tgc, we combine the as.character
wrapped within as.numeric to ascertain that
tiempo is properly coded as a numerical variable.
Antibiotics$bacteria_conc <- paste(Antibiotics$bacteria, Antibiotics$concentracion)
tgc <- summarySE(Antibiotics, measurevar="abs", groupvars=c("tiempo", "antibiotico", "bacteria_conc"), na.rm = TRUE)
tgc$tiempo <- as.numeric(as.character(tgc$tiempo))We are now readt to plot. This graph uses geom_point and
geom_line to create ggplot elements of points and
connecting lines respectively. With geom_errorbar we add
error bars around abs by adding and subtracting the
standard error (se). Using facet_wrap, we
create separate graphs for every level of bacteria_conc. We
save the graph as Antibiotic_GG and export it using the
png function.
Antibiotic_GG <- ggplot(tgc, aes(x = tiempo, y = abs, color = antibiotico, group = antibiotico)) +
geom_point() +
geom_line() +
geom_errorbar(aes(ymin = abs - se, ymax = abs + se), width = 0.15) +
facet_wrap(~bacteria_conc, ncol = 2) +
labs(x = "Time (h)", y = "Optical Density (620 nm)") +
scale_x_continuous(breaks = seq(0, max(tgc$tiempo), by = 5)) +
scale_color_brewer(palette = "Dark2")+
theme_bw(base_size = 14) +
theme(legend.position = "bottom",
legend.background = element_rect(color = "black"),
strip.text = element_text(face = "italic"),
legend.margin = margin(5, 5, 5, 5),
legend.title = element_text(face = "bold", hjust = 0.5)) +
guides(color = guide_legend(
title = "Antibiotic", title.position = "top", title.hjust = 0.5, nrow = 1, ncol = 3))
Antibiotic_GG
png("~/Desktop/CES/Master's Thesis/Antibiotic vs Bacteria.png", width = 150, height = 200, units = 'mm', res = 300)
Antibiotic_GG
dev.off()## quartz_off_screen
## 2Interpretation: Only two antibiotics appear to work properly. However, further testing revealed that the antibiotic activity of Norfloxacina was related to its preparation. As such, we will only use Azitromicina.
Calothrix Performance
Moving on to evaluating the antibiotic capacity of
Calothrix sp, first we subset the Antibiotics
dataframe to only include the data for Azitromicina at a
concentration of 50. Next we use the list and
levels functions again to rename the antibiotic. Next we
use bracket notation to exclude columns we are not interested in. Next
we use colnames to rename the new set of columns. Lastly,
we reorder the columns so that we can match them with a different
dataframe’s columns later on.
Antibiotics2 <- subset(Antibiotics, antibiotico == "Azitromicina" & concentracion == 50)
levels(Antibiotics2$antibiotico) <- list("Azithromycin 50 mg/L" = "Azitromicina")
Antibiotics2 <- Antibiotics2[,-c(3,6)]
colnames(Antibiotics2) <- c("tiempo", "tratamiento", "abs", "bacteria")
Antibiotics2 <- Antibiotics2[, c("tiempo", "tratamiento", "bacteria", "abs")]In this block we first subset out the antibiotico from
this Calothrix2 dataframe, as this antbiotic did not
perform as expected. We then rename the levels in the columns
bacteria and tratamiento.
Calothrix2 <- droplevels(subset(Calothrix, Calothrix$tratamiento != "antibiotico"))
levels(Calothrix2$bacteria) <- list("E. coli" = "ecoli", "Klebsiella sp." = "klebsiella",
"Salmonella sp." = "salmonella", "S. aureus" = "saureus")
levels(Calothrix2$tratamiento) <- list("Antibiotic" = "antibiotico", "Growth Control" = "crecimiento",
"Calothrix [1]" = "calothrix1",
"Calothrix [1/2]" = "calothrix1/2", "Calothrix [1/4]" = "calothrix1/4",
"Calothrix [1/8]" = "calothrix1/8", "Calothrix [1/16]" = "calothrix1/16")We are now ready to combine our dataframes! We can do this easily
using the rbind function.
Calothrix3 <- rbind(Calothrix2, Antibiotics2)Now with the proper dataframe, Calothrix2, we use the
summarySE function to calculate descriptive statistics and
save them as tgc. Selecting the tiempo column
in tgc, we combine the as.character wrapped
within as.numeric to ascertain that tiempo is
properly coded as a numerical variable. Next we create a color map. A
color map is a way to assign colors to certain strings, prior to
creating a graph. This can be useful when many graphs share levels, or
simply to keep things ordered.
With that done, we are ready to graph using ggplot, once
again incorporating the elements of geom_point,
geom_line, geom_errobar, and
facet_wrap. We save the graph as GG1 and
export it using the png function.
tgc <- summarySE(Calothrix3, measurevar="abs", groupvars=c("tiempo", "tratamiento", "bacteria"), na.rm = TRUE)
tgc$tiempo <- as.numeric(as.character(tgc$tiempo))
color_map1 <- c("Azithromycin 50 mg/L" = "sienna3",
"Growth Control" = "dodgerblue3",
"Calothrix [1]" = "darkgreen",
"Calothrix [1/2]" = "green4",
"Calothrix [1/4]" = "green3",
"Calothrix [1/8]" = "yellowgreen",
"Calothrix [1/16]" = "greenyellow")
color_map2 <- c("Azithromycin 50 mg/L" = "sienna3",
"Growth Control" = "dodgerblue3",
"Calothrix [1]" = "darkgreen",
"Calothrix [1/2]" = "limegreen",
"Calothrix [1/4]" = "yellowgreen",
"Calothrix [1/8]" = "yellow3",
"Calothrix [1/16]" = "yellow2")
GG1 <- ggplot(tgc, aes(x = tiempo, y = abs, color = tratamiento, group = tratamiento)) +
geom_point() +
geom_line() +
geom_errorbar(aes(ymin = abs - se, ymax = abs + se), width = 0.15) +
facet_wrap(~bacteria) +
labs(x = "Time (h)", y = "Optical Density (620 nm)") +
scale_x_continuous(breaks = seq(0, max(tgc$tiempo), by = 5)) +
theme_bw(base_size = 13) +
scale_color_manual(values = color_map2) +
theme(legend.title.align=0.5) +
theme(legend.position = "bottom",
legend.background = element_rect(color = "black"),
legend.justification = c("top"),
strip.text = element_text(face = "italic")) +
guides(color = guide_legend(title = NULL, nrow = 2, ncol = 4))
GG1
png("~/Desktop/CES/Master's Thesis/Figures/Figure 2 (Bacterial Trial).png", width = 175, height = 150, units = 'mm', res = 300)
GG1
dev.off()## quartz_off_screen
## 2Fungi Trial
Antifungal Plot
To start us off, we rename the levels in the column
antibiotico of the dataframe Candida.
levels(Candida$antibiotico) <- list("Azitromicina" = "azitromicina",
"Nitrofurantoina" = "nitrofurantoina",
"Norfloxacina" = "norfloxacina")Next, we calculate summary statistics using the
summarySE function and save it as tgc.
Selecting the tiempo column in tgc, we combine
the as.character wrapped within as.numeric to
ascertain that tiempo is properly coded as a numerical
variable.
With that done, we are ready to graph using ggplot, once
again incorporating the elements of geom_point,
geom_line, geom_errobar, and
facet_wrap. We save the graph as Antifungal_GG
and export it using the png function.
tgc <- summarySE(Candida, measurevar="abs", groupvars=c("tiempo", "antibiotico", "concentracion"), na.rm = TRUE)
tgc$tiempo <- as.numeric(as.character(tgc$tiempo))
Antifungal_GG <- ggplot(tgc, aes(x = tiempo, y = abs, color = antibiotico, group = antibiotico)) +
geom_point() +
geom_line() +
geom_errorbar(aes(ymin = abs - se, ymax = abs + se), width = 0.15) +
facet_wrap(~concentracion) +
labs(x = "Time (h)", y = "Optical Density (620 nm)") +
scale_x_continuous(breaks = seq(0, max(tgc$tiempo), by = 5)) +
scale_color_brewer(palette = "Dark2")+
theme_bw(base_size = 13) +
theme(legend.position = "bottom",
legend.background = element_rect(color = "black"),
legend.margin = margin(5, 5, 5, 5),
legend.title = element_text(face = "bold", hjust = 0.5)) +
guides(color = guide_legend(
title = "Antibiotic", title.position = "top", title.hjust = 0.5, nrow = 1, ncol = 3))
Antifungal_GG
png("~/Desktop/CES/Master's Thesis/Antibiotic vs Candida.png", width = 150, height = 100, units = 'mm', res = 300)
Antifungal_GG
dev.off()## quartz_off_screen
## 2Candida performance
To prepare the dataframe Candida, we first use the
subset function to isolate the rows where
antibiotico is Azitromicina and
concentracion is 50, and save the new
dataframe as Candida2. Then, using bracket notation, we
remove unwanted columns. The function colnames is used next
to rename the column names.
We then switch to the dataframe Calbi, which holds the
Calothrix treatments. We subset out
antibiotico because the antibiotic in this dataframe is not
useable here.
Calbi2 <- droplevels(subset(Calbi, Calbi$tratamiento != "antibiotico"))
levels(Calbi2$tratamiento) <- list("Growth Control" = "crecimiento",
"Calothrix [1]" = "calothrix1",
"Calothrix [1/2]" = "calothrix1/2",
"Calothrix [1/4]" = "calothrix1/4",
"Calothrix [1/8]" = "calothrix1/8",
"Calothrix [1/16]" = "calothrix1/16")
tgc <- summarySE(Calbi2, measurevar="abs", groupvars=c("tiempo", "tratamiento"), na.rm = TRUE)
tgc$tiempo <- as.numeric(as.character(tgc$tiempo))
GG2 <- ggplot(tgc, aes(x = tiempo, y = abs, color = tratamiento, group = tratamiento)) +
geom_point() +
geom_line() +
geom_errorbar(aes(ymin = abs - se, ymax = abs + se), width = 0.15) +
labs(x = "Time (h)", y = "Optical Density (620 nm)") +
scale_x_continuous(breaks = seq(0, max(tgc$tiempo), by = 5)) +
scale_color_manual(values = color_map2) +
theme_bw(base_size = 12) +
theme(legend.title.align = 0.5,
legend.position = c(0.147, 0.99),
legend.margin = margin(1, 3, 1, 1),
legend.background = element_rect(color = "black", size = 0.1),
legend.justification = c("top"),
strip.text = element_text(face = "italic"),
legend.text = element_text(size = 9)) + # Adjust the size value as needed
guides(color = guide_legend(title = NULL, nrow = 6, ncol = 1))
GG2
png("~/Desktop/CES/Master's Thesis/Figures/Figure 3 (Antifungal Trial).png", width = 130, height = 90, units = 'mm', res = 300)
GG2
dev.off()## quartz_off_screen
## 2Prebiotic Activity
To assess prebiotic activity in the dataframe PreBio3 we
need to first, rename the levels using the functions, list
and levels, and then apply summarySE to
calculate summary statistics. A color map is defined here as well. The
names of bacteria are also rewritten.
A ggplot graph is created. This graph uses
geom_point and geom_line to create
ggplot elements of points and connecting lines
respectively. With geom_errorbar we add error bars around
abs by adding and subtracting the standard error
(se). Using facet_wrap, we create separate
graphs for every level of bacteria_conc. We save the graph
as GG3 and export it using the png
function.
levels(PreBio3$tratamiento) <- list("Growth Control" = "crecimiento",
"Calothrix [1]" = "calothrix1",
"Calothrix [1/2]" = "calothrix1/2",
"Calothrix [1/4]" = "calothrix1/4",
"Calothrix [1/8]" = "calothrix1/8",
"Calothrix [1/16]" = "calothrix1/16")
tgc <- summarySE(PreBio3, measurevar="abs", groupvars=c("tiempo", "tratamiento", "bacteria"), na.rm = TRUE)
color_map3 <- c("Growth Control" = "dodgerblue3",
"Calothrix [1]" = "darkgreen",
"Calothrix [1/2]" = "limegreen",
"Calothrix [1/4]" = "yellowgreen",
"Calothrix [1/8]" = "yellow3",
"Calothrix [1/16]" = "yellow2")
levels(tgc$bacteria) <- list("Limosilactobacillus \nreuteri" = "fos",
"Lactiplantibacillus \nplantarum" = "lp")
GG3 <- ggplot(tgc, aes(x = tiempo, y = abs, color = tratamiento, group = tratamiento)) +
geom_point() +
geom_line() +
geom_errorbar(aes(ymin = abs - se, ymax = abs + se), width = 0.15) +
facet_wrap(~bacteria) +
labs(x = "Time (h)", y = "Optical Density (620 nm)") +
scale_x_continuous(breaks = seq(0, max(tgc$tiempo), by = 5)) +
theme_bw(base_size = 13) +
scale_color_manual(values = color_map3) +
theme(legend.title.align=0.5) +
theme(legend.position = "bottom",
legend.background = element_rect(color = "black"),
legend.justification = c("top"),
strip.text = element_text(face = "italic")) +
guides(color = guide_legend(title = NULL, nrow = 2, ncol = 4))
GG3
png("~/Desktop/CES/Master's Thesis/Figures/Figure 4 (Prebiotic Trial).png", width = 135, height = 100, units = 'mm', res = 300)
GG3
dev.off()## quartz_off_screen
## 2Growth x Light
Value Distribution
Let’s take a look at the data distribution of
peso_biomasa in the CaloGrowth dataframe. To
do this, we will create a histogram and a kernel density estimate, which
is basically a smoothed histogram, using the geom_histogram
and geom_density arguments from ggplot. We
will also use geom_vline to create a vertical line at the
mean.
ggplot(CaloGrowth, aes(x=peso_biomasa)) +
geom_histogram(aes(y=..density..), colour="black", fill="cornsilk") +
geom_density(alpha=.2, fill="#FF6666") + # easier to see distribution
geom_vline(aes(xintercept=mean(peso_biomasa, na.rm=TRUE)),color="cadetblue4",
linetype="dashed", size=1) + # This adds a blue line where the mean is.
xlab("Peso Biomasa (g)") +
ylab("Density") +
labs(caption = "La media del peso de biomass es 0.17 g/L. La distribución parece Poisson.") +
theme_bw(base_size = 15) +
theme(plot.caption = element_text(hjust = 0.5)) # Centered caption
Let’s transform the variable Day into numerical using a
combination of as.character and
as.numeric.
CaloGrowth$Day_N <- as.numeric(as.character(CaloGrowth$Day))Next, we calculate a summary of the data using the
summarySE function from the Rmisc package,
specifying that we want to summarize the variable
peso_biomasa grouped by the variables medio,
Day, and luz. The summarySE
function calculates the mean and standard error for each group. Then we
reorder the levels of the variable Day in tgc
using the relevel function. This is done to set a specific
reference level for the variable Day in the graph later
on.
Next, we create a graph using ggplot2 (GG1)
where we represent the variable peso_biomasa on the y-axis,
Day on the x-axis, and use color to represent the variable
medio. We add points, lines, and error bars to the graph to
visualize the data. We also adjust the axis ranges and customize the
theme and appearance of the graph. With the facet_wrap
argument, we create a graph for each level of the variable
Day. Finally, we save the graph as a PNG file using the
png function.
Light Graphs
tgc <- summarySE(CaloGrowth, measurevar="peso_biomasa", groupvars=c("medio", "Day", "luz"), na.rm = TRUE)
levels(tgc$luz) <- list("White Light" = "Blanca",
"Red Light" = "Roja",
"No Light" = "Oscuridad")
tgc$Day <- relevel(tgc$Day, ref = "24")
tgc$Day <- relevel(tgc$Day, ref = "20")
tgc$Day <- relevel(tgc$Day, ref = "16")
tgc$Day <- relevel(tgc$Day, ref = "12")
tgc$Day <- relevel(tgc$Day, ref = "8")
tgc$Day <- relevel(tgc$Day, ref = "4")
tgc$Day <- relevel(tgc$Day, ref = "0")
GG1 <- ggplot(tgc, aes(x = Day, y = peso_biomasa, color = medio, group = medio)) +
geom_point() +
geom_line() +
geom_errorbar(aes(ymin = peso_biomasa - se, ymax = peso_biomasa + se), width = 0.15) +
ylim(0,0.84) +
facet_wrap(~luz) +
xlab("Time (Days)") +
ylab(expression(Biomass~(g~L^-1))) + # Superscript in y-axis label
theme_bw(base_size = 12) +
scale_color_manual(values = c("#520120", "#08403E", "#706513", "#B57114")) +
theme(legend.title.align=0.5) +
theme(legend.position = "bottom",
legend.background = element_rect(color = "black"),
legend.justification = c("top")) +
guides(color = guide_legend(title = NULL, nrow = 1, ncol = 4))
GG1
png("~/Desktop/CES/Master's Thesis/Figures/Figure 1 (Light Trials).png", width = 180, height = 100, units = 'mm', res = 300)
GG1
dev.off()## quartz_off_screen
## 2Tables
To create the tables for the levels of luz, we will use the subset and droplevels functions, the first subset to remove the other levels of luz, and droplevels to ensure that zeros do not appear for the other levels.
tgc_Blanca <- droplevels(subset(tgc, tgc$luz == "White Light"))
tgc_Roja <- droplevels(subset(tgc, tgc$luz == "Red Light"))
tgc_Oscuridad <- droplevels(subset(tgc, tgc$luz == "No Light"))White Table
Next, we will remove columns that we are not interested in, round to
two decimal places using the round function, convert the
Day variable back to numeric, organize the table
numerically with the arrange function, modify the column names with
colnames, export the table with write.csv, and create the
table in a professional style for the HTML report with
kbl.
tgc_Blanca <- tgc_Blanca[,c(1,2,5,7)]
tgc_Blanca$peso_biomasa <- round(tgc_Blanca$peso_biomasa,3)
tgc_Blanca$se <- round(tgc_Blanca$se,3)
tgc_Blanca$Day <- as.numeric(as.character(tgc_Blanca$Day))
tgc_Blanca <- tgc_Blanca %>%
arrange(Day, medio)
colnames(tgc_Blanca) <- c("Medio", "Día", "Peso Biomasa (g/L)", "Error Estándar")
write.csv(tgc_Blanca, "~/Desktop/CES/Master's Thesis/Tabla_LuzBlanca.csv")
kbl(tgc_Blanca, format = "html",
table.attr = "style='width:50%;'") %>%
kable_classic() %>%
scroll_box(height = "500px")| Medio | Día | Peso Biomasa (g/L) | Error Estándar |
|---|---|---|---|
| BG11 | 0 | 0.024 | 0.005 |
| BG11-0 | 0 | 0.009 | 0.008 |
| BG11-0+G | 0 | 0.000 | 0.000 |
| BG11+G | 0 | 0.000 | 0.000 |
| BG11 | 4 | 0.154 | 0.017 |
| BG11-0 | 4 | 0.027 | 0.009 |
| BG11-0+G | 4 | 0.188 | 0.011 |
| BG11+G | 4 | 0.060 | 0.032 |
| BG11 | 8 | 0.187 | 0.008 |
| BG11-0 | 8 | 0.023 | 0.014 |
| BG11-0+G | 8 | 0.299 | 0.039 |
| BG11+G | 8 | 0.254 | 0.007 |
| BG11 | 12 | 0.211 | 0.009 |
| BG11-0 | 12 | 0.026 | 0.015 |
| BG11-0+G | 12 | 0.464 | 0.010 |
| BG11+G | 12 | 0.403 | 0.099 |
| BG11 | 16 | 0.352 | 0.029 |
| BG11-0 | 16 | 0.050 | 0.011 |
| BG11-0+G | 16 | 0.514 | 0.068 |
| BG11+G | 16 | 0.728 | 0.104 |
| BG11 | 20 | 0.361 | 0.034 |
| BG11-0 | 20 | 0.091 | 0.013 |
| BG11-0+G | 20 | 0.349 | 0.007 |
| BG11+G | 20 | 0.754 | 0.046 |
| BG11 | 24 | 0.562 | 0.034 |
| BG11-0 | 24 | 0.111 | 0.036 |
| BG11-0+G | 24 | 0.641 | 0.026 |
| BG11+G | 24 | 0.701 | 0.005 |
Red Table
tgc_Roja <- tgc_Roja[,c(1,2,5,7)]
tgc_Roja$peso_biomasa <- round(tgc_Roja$peso_biomasa,3)
tgc_Roja$se <- round(tgc_Roja$se,3)
tgc_Roja$Day <- as.numeric(as.character(tgc_Roja$Day))
tgc_Roja <- tgc_Roja %>%
dplyr::arrange(Day, medio)
colnames(tgc_Roja) <- c("Medio", "Día", "Peso Biomasa (g/L)", "Error Estándar")
write.csv(tgc_Roja, "~/Desktop/CES/Master's Thesis/Tabla_LuzRoja.csv")
kbl(tgc_Roja, format = "html",
table.attr = "style='width:50%;'") %>%
kable_classic() %>%
scroll_box(height = "500px")| Medio | Día | Peso Biomasa (g/L) | Error Estándar |
|---|---|---|---|
| BG11 | 0 | 0.000 | 0.000 |
| BG11-0 | 0 | 0.001 | 0.000 |
| BG11-0+G | 0 | 0.000 | 0.000 |
| BG11+G | 0 | 0.000 | 0.000 |
| BG11 | 4 | 0.078 | 0.009 |
| BG11-0 | 4 | 0.024 | 0.002 |
| BG11-0+G | 4 | 0.069 | 0.001 |
| BG11+G | 4 | 0.065 | 0.004 |
| BG11 | 8 | 0.103 | 0.005 |
| BG11-0 | 8 | 0.071 | 0.026 |
| BG11-0+G | 8 | 0.092 | 0.023 |
| BG11+G | 8 | 0.112 | 0.056 |
| BG11 | 12 | 0.101 | 0.016 |
| BG11-0 | 12 | 0.108 | 0.007 |
| BG11-0+G | 12 | 0.118 | 0.014 |
| BG11+G | 12 | 0.125 | 0.002 |
| BG11 | 16 | 0.116 | 0.024 |
| BG11-0 | 16 | 0.110 | 0.003 |
| BG11-0+G | 16 | 0.204 | 0.026 |
| BG11+G | 16 | 0.181 | 0.009 |
| BG11 | 20 | 0.132 | 0.018 |
| BG11-0 | 20 | 0.085 | 0.004 |
| BG11-0+G | 20 | 0.228 | 0.010 |
| BG11+G | 20 | 0.277 | 0.027 |
| BG11 | 24 | 0.120 | 0.009 |
| BG11-0 | 24 | 0.100 | 0.016 |
| BG11-0+G | 24 | 0.200 | 0.018 |
| BG11+G | 24 | 0.290 | 0.016 |
Darkness Table
tgc_Oscuridad <- tgc_Oscuridad[,c(1,2,5,7)]
tgc_Oscuridad$peso_biomasa <- round(tgc_Oscuridad$peso_biomasa,3)
tgc_Oscuridad$se <- round(tgc_Oscuridad$se,3)
tgc_Oscuridad$Day <- as.numeric(as.character(tgc_Oscuridad$Day))
tgc_Oscuridad <- tgc_Oscuridad %>%
dplyr::arrange(Day, medio)
colnames(tgc_Oscuridad) <- c("Medio", "Día", "Peso Biomasa (g/L)", "Error Estándar")
write.csv(tgc_Oscuridad, "~/Desktop/CES/Master's Thesis/Tabla_LuzOscuridad.csv")
kbl(tgc_Oscuridad, format = "html",
table.attr = "style='width:50%;'") %>%
kable_classic() %>%
scroll_box(height = "500px")| Medio | Día | Peso Biomasa (g/L) | Error Estándar |
|---|---|---|---|
| BG11 | 0 | 0.000 | 0.000 |
| BG11-0 | 0 | 0.000 | 0.000 |
| BG11-0+G | 0 | 0.000 | 0.000 |
| BG11+G | 0 | 0.000 | 0.000 |
| BG11 | 4 | 0.120 | 0.001 |
| BG11-0 | 4 | 0.174 | 0.009 |
| BG11-0+G | 4 | 0.049 | 0.014 |
| BG11+G | 4 | 0.033 | 0.014 |
| BG11 | 8 | 0.214 | 0.004 |
| BG11-0 | 8 | 0.187 | 0.009 |
| BG11-0+G | 8 | 0.245 | 0.016 |
| BG11+G | 8 | 0.149 | 0.002 |
| BG11 | 12 | 0.213 | 0.011 |
| BG11-0 | 12 | 0.145 | 0.022 |
| BG11-0+G | 12 | 0.132 | 0.006 |
| BG11+G | 12 | 0.139 | 0.009 |
| BG11 | 16 | 0.219 | 0.029 |
| BG11-0 | 16 | 0.082 | 0.021 |
| BG11-0+G | 16 | 0.133 | 0.031 |
| BG11+G | 16 | 0.278 | 0.043 |
| BG11 | 20 | 0.111 | 0.007 |
| BG11-0 | 20 | 0.086 | 0.003 |
| BG11-0+G | 20 | 0.123 | 0.014 |
| BG11+G | 20 | 0.194 | 0.006 |
| BG11 | 24 | 0.105 | 0.006 |
| BG11-0 | 24 | 0.017 | 0.003 |
| BG11-0+G | 24 | 0.309 | 0.015 |
| BG11+G | 24 | 0.180 | 0.023 |
Analysis
The following graph is a distribution density graph useful for evaluating the behavior of data. This may hint to use whether we should analyze the data using parametric or non-parametric statistics.
x_mean <- round(mean(Calothrix3$abs, na.rm = TRUE), 2)
ggplot(Calothrix3, aes(x=abs)) +
geom_histogram(aes(y=..density..), colour="black", fill="cornsilk") +
geom_density(alpha=.2, fill="#FF6666") + # easier to see distribution
geom_vline(aes(xintercept=mean(abs, na.rm=TRUE)),color="cadetblue4",
linetype="dashed", size=1) + # This adds a blue line where the mean is.
xlab("Absorbancia (620 nm)") +
ylab("Density") +
labs(caption = paste0("Absorbancia media es ", x_mean)) +
theme_bw(base_size = 15) +
theme(plot.caption = element_text(hjust = 0.5)) 
Interpretation: The density distribution graph is bimodal and right-skewed. This means that even transformation are unlikely to fix the behavior of residuals. Considering this distribution and the wealth of data, we will opt for a more conservative approach using non-parametric statistics.
To prepare for the statistical analysis, first we create subsets for
every level of bacteria in Calothrix3.
Calo_coli <- droplevels(subset(Calothrix3, Calothrix3$bacteria == "E. coli"))
Calo_kleb <- droplevels(subset(Calothrix3, Calothrix3$bacteria == "Klebsiella sp."))
Calo_salm <- droplevels(subset(Calothrix3, Calothrix3$bacteria == "Salmonella sp."))
Calo_saur <- droplevels(subset(Calothrix3, Calothrix3$bacteria == "S. aureus"))E. coli Inhibition
Now, what we will use is the Conover Post-Hoc Test,
available using the conover.test package. However, we will
also use a for loop to perform the conover test for each level of
tiempo. We will store the result in a list for easier
viewing. We will start off using the E. coli dataset, saved in the
Calo_coli dataframe.
tiempo_levels <- unique(Calo_coli$tiempo)
# Initialize a list to store the test results
conover_results <- list()
# Perform Conover test for each level of tiempo
for (level in tiempo_levels) {
# Subset data for the current level of tiempo
data_subset <- Calo_coli[Calo_coli$tiempo == level, ]
# Print the current level of tiempo
cat("Conover test for tiempo:", level, "\n")
# Perform Conover test
conover_result <- conover.test(data_subset$abs, data_subset$tratamiento, method = "bh", list = TRUE)
# Store the result in the list
conover_results[[as.character(level)]] <- conover_result
}## Conover test for tiempo: 0
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 21.9202, df = 6, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Azithrom Calothri Calothri Calothri Calothri Calothri
## ---------+------------------------------------------------------------------
## Calothri | -3.121822
## | 0.0057*
## |
## Calothri | -1.590586 1.531235
## | 0.1138 0.1166
## |
## Calothri | -2.623280 0.498541 -1.032693
## | 0.0159* 0.3430 0.2019
## |
## Calothri | 0.759682 3.881505 2.350269 3.382963
## | 0.2635 0.0013* 0.0275 0.0033*
## |
## Calothri | -3.905245 -0.783423 -2.314658 -1.281964 -4.664928
## | 0.0018* 0.2704 0.0269 0.1671 0.0003*
## |
## Growth C | -2.813200 0.308621 -1.222614 -0.189920 -3.572883 1.092044
## | 0.0111* 0.3985 0.1712 0.4251 0.0024* 0.1967
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1] : -3.121822 (0.0057)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -1.590586 (0.1138)
## Calothrix [1] - Calothrix [1/16] : 1.531235 (0.1166)
## Azithromycin 50 mg/L - Calothrix [1/2] : -2.623280 (0.0159)*
## Calothrix [1] - Calothrix [1/2] : 0.498541 (0.3430)
## Calothrix [1/16] - Calothrix [1/2] : -1.032693 (0.2019)
## Azithromycin 50 mg/L - Calothrix [1/4] : 0.759682 (0.2635)
## Calothrix [1] - Calothrix [1/4] : 3.881505 (0.0013)*
## Calothrix [1/16] - Calothrix [1/4] : 2.350269 (0.0275)
## Calothrix [1/2] - Calothrix [1/4] : 3.382963 (0.0033)*
## Azithromycin 50 mg/L - Calothrix [1/8] : -3.905245 (0.0018)*
## Calothrix [1] - Calothrix [1/8] : -0.783423 (0.2704)
## Calothrix [1/16] - Calothrix [1/8] : -2.314658 (0.0269)
## Calothrix [1/2] - Calothrix [1/8] : -1.281964 (0.1671)
## Calothrix [1/4] - Calothrix [1/8] : -4.664928 (0.0003)*
## Azithromycin 50 mg/L - Growth Control : -2.813200 (0.0111)*
## Calothrix [1] - Growth Control : 0.308621 (0.3985)
## Calothrix [1/16] - Growth Control : -1.222614 (0.1712)
## Calothrix [1/2] - Growth Control : -0.189920 (0.4251)
## Calothrix [1/4] - Growth Control : -3.572883 (0.0024)*
## Calothrix [1/8] - Growth Control : 1.092044 (0.1967)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 1.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 38.973, df = 6, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Azithrom Calothri Calothri Calothri Calothri Calothri
## ---------+------------------------------------------------------------------
## Calothri | -4.317080
## | 0.0001*
## |
## Calothri | -9.481438 -5.164358
## | 0.0000* 0.0000*
## |
## Calothri | -4.075001 0.242079 5.406437
## | 0.0002* 0.4252 0.0000*
## |
## Calothri | -4.518813 -0.201732 4.962625 -0.443812
## | 0.0001* 0.4205 0.0000* 0.3644
## |
## Calothri | -7.504457 -3.187377 1.976980 -3.429456 -2.985644
## | 0.0000* 0.0019* 0.0319 0.0010* 0.0031*
## |
## Growth C | -11.61980 -7.302725 -2.138367 -7.544804 -7.100992 -4.115347
## | 0.0000* 0.0000* 0.0237* 0.0000* 0.0000* 0.0002*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1] : -4.317080 (0.0001)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -9.481438 (0.0000)*
## Calothrix [1] - Calothrix [1/16] : -5.164358 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/2] : -4.075001 (0.0002)*
## Calothrix [1] - Calothrix [1/2] : 0.242079 (0.4252)
## Calothrix [1/16] - Calothrix [1/2] : 5.406437 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/4] : -4.518813 (0.0001)*
## Calothrix [1] - Calothrix [1/4] : -0.201732 (0.4205)
## Calothrix [1/16] - Calothrix [1/4] : 4.962625 (0.0000)*
## Calothrix [1/2] - Calothrix [1/4] : -0.443812 (0.3644)
## Azithromycin 50 mg/L - Calothrix [1/8] : -7.504457 (0.0000)*
## Calothrix [1] - Calothrix [1/8] : -3.187377 (0.0019)*
## Calothrix [1/16] - Calothrix [1/8] : 1.976980 (0.0319)
## Calothrix [1/2] - Calothrix [1/8] : -3.429456 (0.0010)*
## Calothrix [1/4] - Calothrix [1/8] : -2.985644 (0.0031)*
## Azithromycin 50 mg/L - Growth Control : -11.61980 (0.0000)*
## Calothrix [1] - Growth Control : -7.302725 (0.0000)*
## Calothrix [1/16] - Growth Control : -2.138367 (0.0237)*
## Calothrix [1/2] - Growth Control : -7.544804 (0.0000)*
## Calothrix [1/4] - Growth Control : -7.100992 (0.0000)*
## Calothrix [1/8] - Growth Control : -4.115347 (0.0002)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 3.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 25.9758, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -0.876792
## | 0.2415
## |
## Calothri | 2.090811 2.967603
## | 0.0298 0.0057*
## |
## Calothri | 2.933880 3.810672 0.843069
## | 0.0054* 0.0010* 0.2335
## |
## Calothri | 2.259425 3.136217 0.168613 -0.674455
## | 0.0225* 0.0043* 0.4335 0.2702
## |
## Growth C | -3.675781 -2.798989 -5.766593 -6.609662 -5.935207
## | 0.0012* 0.0068* 0.0000* 0.0000* 0.0000*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -0.876792 (0.2415)
## Calothrix [1] - Calothrix [1/2] : 2.090811 (0.0298)
## Calothrix [1/16] - Calothrix [1/2] : 2.967603 (0.0057)*
## Calothrix [1] - Calothrix [1/4] : 2.933880 (0.0054)*
## Calothrix [1/16] - Calothrix [1/4] : 3.810672 (0.0010)*
## Calothrix [1/2] - Calothrix [1/4] : 0.843069 (0.2335)
## Calothrix [1] - Calothrix [1/8] : 2.259425 (0.0225)*
## Calothrix [1/16] - Calothrix [1/8] : 3.136217 (0.0043)*
## Calothrix [1/2] - Calothrix [1/8] : 0.168613 (0.4335)
## Calothrix [1/4] - Calothrix [1/8] : -0.674455 (0.2702)
## Calothrix [1] - Growth Control : -3.675781 (0.0012)*
## Calothrix [1/16] - Growth Control : -2.798989 (0.0068)*
## Calothrix [1/2] - Growth Control : -5.766593 (0.0000)*
## Calothrix [1/4] - Growth Control : -6.609662 (0.0000)*
## Calothrix [1/8] - Growth Control : -5.935207 (0.0000)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 6.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 17.4812, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 0.431270
## | 0.3583
## |
## Calothri | 1.118606 0.687336
## | 0.2256 0.3102
## |
## Calothri | 1.064698 0.633428 -0.053908
## | 0.2005 0.3060 0.4787
## |
## Calothri | 2.183305 1.752034 1.064698 1.118606
## | 0.0445 0.0946 0.2206 0.2538
## |
## Growth C | -2.614575 -3.045845 -3.733182 -3.679273 -4.797880
## | 0.0194* 0.0081* 0.0024* 0.0019* 0.0002*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 0.431270 (0.3583)
## Calothrix [1] - Calothrix [1/2] : 1.118606 (0.2256)
## Calothrix [1/16] - Calothrix [1/2] : 0.687336 (0.3102)
## Calothrix [1] - Calothrix [1/4] : 1.064698 (0.2005)
## Calothrix [1/16] - Calothrix [1/4] : 0.633428 (0.3060)
## Calothrix [1/2] - Calothrix [1/4] : -0.053908 (0.4787)
## Calothrix [1] - Calothrix [1/8] : 2.183305 (0.0445)
## Calothrix [1/16] - Calothrix [1/8] : 1.752034 (0.0946)
## Calothrix [1/2] - Calothrix [1/8] : 1.064698 (0.2206)
## Calothrix [1/4] - Calothrix [1/8] : 1.118606 (0.2538)
## Calothrix [1] - Growth Control : -2.614575 (0.0194)*
## Calothrix [1/16] - Growth Control : -3.045845 (0.0081)*
## Calothrix [1/2] - Growth Control : -3.733182 (0.0024)*
## Calothrix [1/4] - Growth Control : -3.679273 (0.0019)*
## Calothrix [1/8] - Growth Control : -4.797880 (0.0002)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 18
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 31.1496, df = 6, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Azithrom Calothri Calothri Calothri Calothri Calothri
## ---------+------------------------------------------------------------------
## Calothri | -6.260358
## | 0.0000*
## |
## Calothri | -4.281849 1.978509
## | 0.0003* 0.0381
## |
## Calothri | -4.163729 2.096629 0.118119
## | 0.0003* 0.0340 0.4759
## |
## Calothri | -4.104669 2.155689 0.177179 0.059059
## | 0.0003* 0.0323 0.4754 0.4766
## |
## Calothri | -3.336889 2.923469 0.944959 0.826839 0.767779
## | 0.0019* 0.0053* 0.2297 0.2551 0.2607
## |
## Growth C | -8.238868 -1.978509 -3.957019 -4.075139 -4.134199 -4.901979
## | 0.0000* 0.0408 0.0003* 0.0003* 0.0003* 0.0001*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1] : -6.260358 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -4.281849 (0.0003)*
## Calothrix [1] - Calothrix [1/16] : 1.978509 (0.0381)
## Azithromycin 50 mg/L - Calothrix [1/2] : -4.163729 (0.0003)*
## Calothrix [1] - Calothrix [1/2] : 2.096629 (0.0340)
## Calothrix [1/16] - Calothrix [1/2] : 0.118119 (0.4759)
## Azithromycin 50 mg/L - Calothrix [1/4] : -4.104669 (0.0003)*
## Calothrix [1] - Calothrix [1/4] : 2.155689 (0.0323)
## Calothrix [1/16] - Calothrix [1/4] : 0.177179 (0.4754)
## Calothrix [1/2] - Calothrix [1/4] : 0.059059 (0.4766)
## Azithromycin 50 mg/L - Calothrix [1/8] : -3.336889 (0.0019)*
## Calothrix [1] - Calothrix [1/8] : 2.923469 (0.0053)*
## Calothrix [1/16] - Calothrix [1/8] : 0.944959 (0.2297)
## Calothrix [1/2] - Calothrix [1/8] : 0.826839 (0.2551)
## Calothrix [1/4] - Calothrix [1/8] : 0.767779 (0.2607)
## Azithromycin 50 mg/L - Growth Control : -8.238868 (0.0000)*
## Calothrix [1] - Growth Control : -1.978509 (0.0408)
## Calothrix [1/16] - Growth Control : -3.957019 (0.0003)*
## Calothrix [1/2] - Growth Control : -4.075139 (0.0003)*
## Calothrix [1/4] - Growth Control : -4.134199 (0.0003)*
## Calothrix [1/8] - Growth Control : -4.901979 (0.0001)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 20
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 13.786, df = 5, p-value = 0.02
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 1.302943
## | 0.2511
## |
## Calothri | 0.501132 -0.801811
## | 0.3871 0.4585
## |
## Calothri | 0.751698 -0.551245 0.250566
## | 0.3809 0.3988 0.4305
## |
## Calothri | 0.751698 -0.551245 0.250566 0.000000
## | 0.4285 0.4387 0.4636 0.5000
## |
## Growth C | -2.480604 -3.783548 -2.981737 -3.232303 -3.232303
## | 0.0269 0.0042* 0.0096* 0.0066* 0.0099*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 1.302943 (0.2511)
## Calothrix [1] - Calothrix [1/2] : 0.501132 (0.3871)
## Calothrix [1/16] - Calothrix [1/2] : -0.801811 (0.4585)
## Calothrix [1] - Calothrix [1/4] : 0.751698 (0.3809)
## Calothrix [1/16] - Calothrix [1/4] : -0.551245 (0.3988)
## Calothrix [1/2] - Calothrix [1/4] : 0.250566 (0.4305)
## Calothrix [1] - Calothrix [1/8] : 0.751698 (0.4285)
## Calothrix [1/16] - Calothrix [1/8] : -0.551245 (0.4387)
## Calothrix [1/2] - Calothrix [1/8] : 0.250566 (0.4636)
## Calothrix [1/4] - Calothrix [1/8] : 0.000000 (0.5000)
## Calothrix [1] - Growth Control : -2.480604 (0.0269)
## Calothrix [1/16] - Growth Control : -3.783548 (0.0042)*
## Calothrix [1/2] - Growth Control : -2.981737 (0.0096)*
## Calothrix [1/4] - Growth Control : -3.232303 (0.0066)*
## Calothrix [1/8] - Growth Control : -3.232303 (0.0099)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 22.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 21.2089, df = 6, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Azithrom Calothri Calothri Calothri Calothri Calothri
## ---------+------------------------------------------------------------------
## Calothri | -4.145312
## | 0.0006*
## |
## Calothri | -3.360747 0.784564
## | 0.0029* 0.3278
## |
## Calothri | -4.250701 -0.105389 -0.889954
## | 0.0006* 0.4812 0.3312
## |
## Calothri | -3.583235 0.562076 -0.222488 0.667465
## | 0.0023* 0.3564 0.4813 0.3335
## |
## Calothri | -3.419297 0.726015 -0.058549 0.831404 0.163938
## | 0.0030* 0.3303 0.4768 0.3315 0.4811
## |
## Growth C | -5.339724 -1.194411 -1.978976 -1.089022 -1.756488 -1.920427
## | 0.0000* 0.2510 0.0816 0.2695 0.1007 0.0809
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1] : -4.145312 (0.0006)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -3.360747 (0.0029)*
## Calothrix [1] - Calothrix [1/16] : 0.784564 (0.3278)
## Azithromycin 50 mg/L - Calothrix [1/2] : -4.250701 (0.0006)*
## Calothrix [1] - Calothrix [1/2] : -0.105389 (0.4812)
## Calothrix [1/16] - Calothrix [1/2] : -0.889954 (0.3312)
## Azithromycin 50 mg/L - Calothrix [1/4] : -3.583235 (0.0023)*
## Calothrix [1] - Calothrix [1/4] : 0.562076 (0.3564)
## Calothrix [1/16] - Calothrix [1/4] : -0.222488 (0.4813)
## Calothrix [1/2] - Calothrix [1/4] : 0.667465 (0.3335)
## Azithromycin 50 mg/L - Calothrix [1/8] : -3.419297 (0.0030)*
## Calothrix [1] - Calothrix [1/8] : 0.726015 (0.3303)
## Calothrix [1/16] - Calothrix [1/8] : -0.058549 (0.4768)
## Calothrix [1/2] - Calothrix [1/8] : 0.831404 (0.3315)
## Calothrix [1/4] - Calothrix [1/8] : 0.163938 (0.4811)
## Azithromycin 50 mg/L - Growth Control : -5.339724 (0.0000)*
## Calothrix [1] - Growth Control : -1.194411 (0.2510)
## Calothrix [1/16] - Growth Control : -1.978976 (0.0816)
## Calothrix [1/2] - Growth Control : -1.089022 (0.2695)
## Calothrix [1/4] - Growth Control : -1.756488 (0.1007)
## Calothrix [1/8] - Growth Control : -1.920427 (0.0809)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 24.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 4.6621, df = 5, p-value = 0.46
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 1.322722
## | 0.4857
## |
## Calothri | 0.390311 -0.932411
## | 0.4366 0.4467
## |
## Calothri | 0.390311 -0.932411 0.000000
## | 0.4763 0.5360 0.5000
## |
## Calothri | 1.301038 -0.021683 0.910727 0.910727
## | 0.3778 0.5265 0.3455 0.3948
## |
## Growth C | -0.346943 -1.669666 -0.737255 -0.737255 -1.647982
## | 0.4215 0.7774 0.3493 0.3881 0.4052
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 1.322722 (0.4857)
## Calothrix [1] - Calothrix [1/2] : 0.390311 (0.4366)
## Calothrix [1/16] - Calothrix [1/2] : -0.932411 (0.4467)
## Calothrix [1] - Calothrix [1/4] : 0.390311 (0.4763)
## Calothrix [1/16] - Calothrix [1/4] : -0.932411 (0.5360)
## Calothrix [1/2] - Calothrix [1/4] : 0.000000 (0.5000)
## Calothrix [1] - Calothrix [1/8] : 1.301038 (0.3778)
## Calothrix [1/16] - Calothrix [1/8] : -0.021683 (0.5265)
## Calothrix [1/2] - Calothrix [1/8] : 0.910727 (0.3455)
## Calothrix [1/4] - Calothrix [1/8] : 0.910727 (0.3948)
## Calothrix [1] - Growth Control : -0.346943 (0.4215)
## Calothrix [1/16] - Growth Control : -1.669666 (0.7774)
## Calothrix [1/2] - Growth Control : -0.737255 (0.3493)
## Calothrix [1/4] - Growth Control : -0.737255 (0.3881)
## Calothrix [1/8] - Growth Control : -1.647982 (0.4052)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 26.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 19.9725, df = 6, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Azithrom Calothri Calothri Calothri Calothri Calothri
## ---------+------------------------------------------------------------------
## Calothri | -4.144330
## | 0.0006*
## |
## Calothri | -2.885003 1.259327
## | 0.0108* 0.2507
## |
## Calothri | -4.304608 -0.160277 -1.419605
## | 0.0005* 0.4586 0.2141
## |
## Calothri | -4.006949 0.137381 -1.121945 0.297659
## | 0.0006* 0.4457 0.2817 0.4477
## |
## Calothri | -3.663497 0.480833 -0.778493 0.641111 0.343452
## | 0.0015* 0.4432 0.3856 0.4240 0.4527
## |
## Growth C | -4.556474 -0.412143 -1.671470 -0.251865 -0.549524 -0.892977
## | 0.0005* 0.4478 0.1531 0.4434 0.4392 0.3598
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1] : -4.144330 (0.0006)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -2.885003 (0.0108)*
## Calothrix [1] - Calothrix [1/16] : 1.259327 (0.2507)
## Azithromycin 50 mg/L - Calothrix [1/2] : -4.304608 (0.0005)*
## Calothrix [1] - Calothrix [1/2] : -0.160277 (0.4586)
## Calothrix [1/16] - Calothrix [1/2] : -1.419605 (0.2141)
## Azithromycin 50 mg/L - Calothrix [1/4] : -4.006949 (0.0006)*
## Calothrix [1] - Calothrix [1/4] : 0.137381 (0.4457)
## Calothrix [1/16] - Calothrix [1/4] : -1.121945 (0.2817)
## Calothrix [1/2] - Calothrix [1/4] : 0.297659 (0.4477)
## Azithromycin 50 mg/L - Calothrix [1/8] : -3.663497 (0.0015)*
## Calothrix [1] - Calothrix [1/8] : 0.480833 (0.4432)
## Calothrix [1/16] - Calothrix [1/8] : -0.778493 (0.3856)
## Calothrix [1/2] - Calothrix [1/8] : 0.641111 (0.4240)
## Calothrix [1/4] - Calothrix [1/8] : 0.343452 (0.4527)
## Azithromycin 50 mg/L - Growth Control : -4.556474 (0.0005)*
## Calothrix [1] - Growth Control : -0.412143 (0.4478)
## Calothrix [1/16] - Growth Control : -1.671470 (0.1531)
## Calothrix [1/2] - Growth Control : -0.251865 (0.4434)
## Calothrix [1/4] - Growth Control : -0.549524 (0.4392)
## Calothrix [1/8] - Growth Control : -0.892977 (0.3598)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 28.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 1.8239, df = 5, p-value = 0.87
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 0.187953
## | 0.4915
## |
## Calothri | -0.250605 -0.438558
## | 0.5022 0.6221
## |
## Calothri | -0.584745 -0.772698 -0.334140
## | 0.6025 0.8339 0.5047
## |
## Calothri | 0.355023 0.167070 0.605628 0.939768
## | 0.5435 0.4651 0.6857 1.0000
## |
## Growth C | -0.647396 -0.835350 -0.396791 -0.062651 -1.002420
## | 0.7822 1.0000 0.5782 0.4752 1.0000
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 0.187953 (0.4915)
## Calothrix [1] - Calothrix [1/2] : -0.250605 (0.5022)
## Calothrix [1/16] - Calothrix [1/2] : -0.438558 (0.6221)
## Calothrix [1] - Calothrix [1/4] : -0.584745 (0.6025)
## Calothrix [1/16] - Calothrix [1/4] : -0.772698 (0.8339)
## Calothrix [1/2] - Calothrix [1/4] : -0.334140 (0.5047)
## Calothrix [1] - Calothrix [1/8] : 0.355023 (0.5435)
## Calothrix [1/16] - Calothrix [1/8] : 0.167070 (0.4651)
## Calothrix [1/2] - Calothrix [1/8] : 0.605628 (0.6857)
## Calothrix [1/4] - Calothrix [1/8] : 0.939768 (1.0000)
## Calothrix [1] - Growth Control : -0.647396 (0.7822)
## Calothrix [1/16] - Growth Control : -0.835350 (1.0000)
## Calothrix [1/2] - Growth Control : -0.396791 (0.5782)
## Calothrix [1/4] - Growth Control : -0.062651 (0.4752)
## Calothrix [1/8] - Growth Control : -1.002420 (1.0000)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 30.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 1.2031, df = 5, p-value = 0.94
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 0.020720
## | 0.4918
## |
## Calothri | -0.248642 -0.269362
## | 0.6038 0.6577
## |
## Calothri | -0.663047 -0.683767 -0.414404
## | 0.9591 1.0000 0.6385
## |
## Calothri | -0.165761 -0.186482 0.082880 0.497285
## | 0.5433 0.5817 0.5006 0.6664
## |
## Growth C | -0.745928 -0.766648 -0.497285 -0.082880 -0.580166
## | 1.0000 1.0000 0.7775 0.5391 0.8481
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 0.020720 (0.4918)
## Calothrix [1] - Calothrix [1/2] : -0.248642 (0.6038)
## Calothrix [1/16] - Calothrix [1/2] : -0.269362 (0.6577)
## Calothrix [1] - Calothrix [1/4] : -0.663047 (0.9591)
## Calothrix [1/16] - Calothrix [1/4] : -0.683767 (1.0000)
## Calothrix [1/2] - Calothrix [1/4] : -0.414404 (0.6385)
## Calothrix [1] - Calothrix [1/8] : -0.165761 (0.5433)
## Calothrix [1/16] - Calothrix [1/8] : -0.186482 (0.5817)
## Calothrix [1/2] - Calothrix [1/8] : 0.082880 (0.5006)
## Calothrix [1/4] - Calothrix [1/8] : 0.497285 (0.6664)
## Calothrix [1] - Growth Control : -0.745928 (1.0000)
## Calothrix [1/16] - Growth Control : -0.766648 (1.0000)
## Calothrix [1/2] - Growth Control : -0.497285 (0.7775)
## Calothrix [1/4] - Growth Control : -0.082880 (0.5391)
## Calothrix [1/8] - Growth Control : -0.580166 (0.8481)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 3
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 0, df = 0, p-value = 1## Error in Psort[1, i]: subscript out of boundsKlebsiella Inhibition
For Klebsiella too, stored in the dataframe Calo_kleb,
we will perform looped Conover Post-Hoc Tests.
tiempo_levels <- unique(Calo_kleb$tiempo)
# Initialize a list to store the test results
conover_results <- list()
# Perform Conover test for each level of tiempo
for (level in tiempo_levels) {
# Subset data for the current level of tiempo
data_subset <- Calo_kleb[Calo_kleb$tiempo == level, ]
# Print the current level of tiempo
cat("Conover test for tiempo:", level, "\n")
# Perform Conover test
conover_result <- conover.test(data_subset$abs, data_subset$tratamiento, method = "bh", list = TRUE)
# Store the result in the list
conover_results[[as.character(level)]] <- conover_result
}## Conover test for tiempo: 0
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 35.3702, df = 6, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Azithrom Calothri Calothri Calothri Calothri Calothri
## ---------+------------------------------------------------------------------
## Calothri | -5.290144
## | 0.0000*
## |
## Calothri | -9.334546 -4.044401
## | 0.0000* 0.0003*
## |
## Calothri | -3.839621 1.450523 5.494924
## | 0.0004* 0.0853 0.0000*
## |
## Calothri | -6.945448 -1.655303 2.389097 -3.105827
## | 0.0000* 0.0614 0.0150* 0.0030*
## |
## Calothri | -7.064903 -1.774758 2.269642 -3.225281 -0.119454
## | 0.0000* 0.0514 0.0187* 0.0023* 0.4527
## |
## Growth C | -2.645072 2.645072 6.689473 1.194548 4.300375 4.419830
## | 0.0086* 0.0092* 0.0000* 0.1255 0.0001* 0.0001*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1] : -5.290144 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -9.334546 (0.0000)*
## Calothrix [1] - Calothrix [1/16] : -4.044401 (0.0003)*
## Azithromycin 50 mg/L - Calothrix [1/2] : -3.839621 (0.0004)*
## Calothrix [1] - Calothrix [1/2] : 1.450523 (0.0853)
## Calothrix [1/16] - Calothrix [1/2] : 5.494924 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/4] : -6.945448 (0.0000)*
## Calothrix [1] - Calothrix [1/4] : -1.655303 (0.0614)
## Calothrix [1/16] - Calothrix [1/4] : 2.389097 (0.0150)*
## Calothrix [1/2] - Calothrix [1/4] : -3.105827 (0.0030)*
## Azithromycin 50 mg/L - Calothrix [1/8] : -7.064903 (0.0000)*
## Calothrix [1] - Calothrix [1/8] : -1.774758 (0.0514)
## Calothrix [1/16] - Calothrix [1/8] : 2.269642 (0.0187)*
## Calothrix [1/2] - Calothrix [1/8] : -3.225281 (0.0023)*
## Calothrix [1/4] - Calothrix [1/8] : -0.119454 (0.4527)
## Azithromycin 50 mg/L - Growth Control : -2.645072 (0.0086)*
## Calothrix [1] - Growth Control : 2.645072 (0.0092)*
## Calothrix [1/16] - Growth Control : 6.689473 (0.0000)*
## Calothrix [1/2] - Growth Control : 1.194548 (0.1255)
## Calothrix [1/4] - Growth Control : 4.300375 (0.0001)*
## Calothrix [1/8] - Growth Control : 4.419830 (0.0001)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 1.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 40.8871, df = 6, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Azithrom Calothri Calothri Calothri Calothri Calothri
## ---------+------------------------------------------------------------------
## Calothri | -10.22727
## | 0.0000*
## |
## Calothri | -6.045454 4.181818
## | 0.0000* 0.0001*
## |
## Calothri | -8.931818 1.295454 -2.886363
## | 0.0000* 0.1062 0.0038*
## |
## Calothri | -3.909090 6.318181 2.136363 5.022727
## | 0.0002* 0.0000* 0.0225* 0.0000*
## |
## Calothri | -4.295454 5.931818 1.749999 4.636363 -0.386363
## | 0.0001* 0.0000* 0.0483 0.0000* 0.3506
## |
## Growth C | -13.36363 -3.136363 -7.318181 -4.431818 -9.454545 -9.068181
## | 0.0000* 0.0020* 0.0000* 0.0001* 0.0000* 0.0000*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1] : -10.22727 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -6.045454 (0.0000)*
## Calothrix [1] - Calothrix [1/16] : 4.181818 (0.0001)*
## Azithromycin 50 mg/L - Calothrix [1/2] : -8.931818 (0.0000)*
## Calothrix [1] - Calothrix [1/2] : 1.295454 (0.1062)
## Calothrix [1/16] - Calothrix [1/2] : -2.886363 (0.0038)*
## Azithromycin 50 mg/L - Calothrix [1/4] : -3.909090 (0.0002)*
## Calothrix [1] - Calothrix [1/4] : 6.318181 (0.0000)*
## Calothrix [1/16] - Calothrix [1/4] : 2.136363 (0.0225)*
## Calothrix [1/2] - Calothrix [1/4] : 5.022727 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/8] : -4.295454 (0.0001)*
## Calothrix [1] - Calothrix [1/8] : 5.931818 (0.0000)*
## Calothrix [1/16] - Calothrix [1/8] : 1.749999 (0.0483)
## Calothrix [1/2] - Calothrix [1/8] : 4.636363 (0.0000)*
## Calothrix [1/4] - Calothrix [1/8] : -0.386363 (0.3506)
## Azithromycin 50 mg/L - Growth Control : -13.36363 (0.0000)*
## Calothrix [1] - Growth Control : -3.136363 (0.0020)*
## Calothrix [1/16] - Growth Control : -7.318181 (0.0000)*
## Calothrix [1/2] - Growth Control : -4.431818 (0.0001)*
## Calothrix [1/4] - Growth Control : -9.454545 (0.0000)*
## Calothrix [1/8] - Growth Control : -9.068181 (0.0000)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 3.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 21.0248, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 0.628849
## | 0.2858
## |
## Calothri | 1.506313 0.877464
## | 0.1173 0.2413
## |
## Calothri | 2.413026 1.784177 0.906713
## | 0.0263 0.0887 0.2527
## |
## Calothri | 1.667182 1.038332 0.160868 -0.745844
## | 0.0976 0.2295 0.4365 0.2657
## |
## Growth C | -3.056500 -3.685350 -4.562814 -5.469527 -4.723683
## | 0.0063* 0.0014* 0.0001* 0.0000* 0.0001*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 0.628849 (0.2858)
## Calothrix [1] - Calothrix [1/2] : 1.506313 (0.1173)
## Calothrix [1/16] - Calothrix [1/2] : 0.877464 (0.2413)
## Calothrix [1] - Calothrix [1/4] : 2.413026 (0.0263)
## Calothrix [1/16] - Calothrix [1/4] : 1.784177 (0.0887)
## Calothrix [1/2] - Calothrix [1/4] : 0.906713 (0.2527)
## Calothrix [1] - Calothrix [1/8] : 1.667182 (0.0976)
## Calothrix [1/16] - Calothrix [1/8] : 1.038332 (0.2295)
## Calothrix [1/2] - Calothrix [1/8] : 0.160868 (0.4365)
## Calothrix [1/4] - Calothrix [1/8] : -0.745844 (0.2657)
## Calothrix [1] - Growth Control : -3.056500 (0.0063)*
## Calothrix [1/16] - Growth Control : -3.685350 (0.0014)*
## Calothrix [1/2] - Growth Control : -4.562814 (0.0001)*
## Calothrix [1/4] - Growth Control : -5.469527 (0.0000)*
## Calothrix [1/8] - Growth Control : -4.723683 (0.0001)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 6.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 19.0025, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 0.167224
## | 0.4651
## |
## Calothri | -1.309928 -1.477153
## | 0.1861 0.1589
## |
## Calothri | -0.306579 -0.473804 1.003349
## | 0.4756 0.4353 0.2687
## |
## Calothri | 0.195095 0.027870 1.505024 0.501674
## | 0.4883 0.4890 0.1763 0.4642
## |
## Growth C | -4.347848 -4.515073 -3.037919 -4.041269 -4.542944
## | 0.0003* 0.0002* 0.0066* 0.0005* 0.0005*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 0.167224 (0.4651)
## Calothrix [1] - Calothrix [1/2] : -1.309928 (0.1861)
## Calothrix [1/16] - Calothrix [1/2] : -1.477153 (0.1589)
## Calothrix [1] - Calothrix [1/4] : -0.306579 (0.4756)
## Calothrix [1/16] - Calothrix [1/4] : -0.473804 (0.4353)
## Calothrix [1/2] - Calothrix [1/4] : 1.003349 (0.2687)
## Calothrix [1] - Calothrix [1/8] : 0.195095 (0.4883)
## Calothrix [1/16] - Calothrix [1/8] : 0.027870 (0.4890)
## Calothrix [1/2] - Calothrix [1/8] : 1.505024 (0.1763)
## Calothrix [1/4] - Calothrix [1/8] : 0.501674 (0.4642)
## Calothrix [1] - Growth Control : -4.347848 (0.0003)*
## Calothrix [1/16] - Growth Control : -4.515073 (0.0002)*
## Calothrix [1/2] - Growth Control : -3.037919 (0.0066)*
## Calothrix [1/4] - Growth Control : -4.041269 (0.0005)*
## Calothrix [1/8] - Growth Control : -4.542944 (0.0005)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 18
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 34.3938, df = 6, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Azithrom Calothri Calothri Calothri Calothri Calothri
## ---------+------------------------------------------------------------------
## Calothri | -6.704114
## | 0.0000*
## |
## Calothri | -5.290992 1.413122
## | 0.0000* 0.1083
## |
## Calothri | -4.600862 2.103251 0.690129
## | 0.0001* 0.0311 0.2593
## |
## Calothri | -4.239366 2.464747 1.051625 0.361496
## | 0.0001* 0.0144* 0.1744 0.3598
## |
## Calothri | -3.319193 3.384920 1.971798 1.281668 0.920172
## | 0.0018* 0.0016* 0.0387 0.1278 0.2005
## |
## Growth C | -9.661812 -2.957697 -4.370819 -5.060949 -5.422445 -6.342618
## | 0.0000* 0.0044* 0.0001* 0.0000* 0.0000* 0.0000*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1] : -6.704114 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -5.290992 (0.0000)*
## Calothrix [1] - Calothrix [1/16] : 1.413122 (0.1083)
## Azithromycin 50 mg/L - Calothrix [1/2] : -4.600862 (0.0001)*
## Calothrix [1] - Calothrix [1/2] : 2.103251 (0.0311)
## Calothrix [1/16] - Calothrix [1/2] : 0.690129 (0.2593)
## Azithromycin 50 mg/L - Calothrix [1/4] : -4.239366 (0.0001)*
## Calothrix [1] - Calothrix [1/4] : 2.464747 (0.0144)*
## Calothrix [1/16] - Calothrix [1/4] : 1.051625 (0.1744)
## Calothrix [1/2] - Calothrix [1/4] : 0.361496 (0.3598)
## Azithromycin 50 mg/L - Calothrix [1/8] : -3.319193 (0.0018)*
## Calothrix [1] - Calothrix [1/8] : 3.384920 (0.0016)*
## Calothrix [1/16] - Calothrix [1/8] : 1.971798 (0.0387)
## Calothrix [1/2] - Calothrix [1/8] : 1.281668 (0.1278)
## Calothrix [1/4] - Calothrix [1/8] : 0.920172 (0.2005)
## Azithromycin 50 mg/L - Growth Control : -9.661812 (0.0000)*
## Calothrix [1] - Growth Control : -2.957697 (0.0044)*
## Calothrix [1/16] - Growth Control : -4.370819 (0.0001)*
## Calothrix [1/2] - Growth Control : -5.060949 (0.0000)*
## Calothrix [1/4] - Growth Control : -5.422445 (0.0000)*
## Calothrix [1/8] - Growth Control : -6.342618 (0.0000)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 20
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 18.3299, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -0.343178
## | 0.4232
## |
## Calothri | 0.672629 1.015808
## | 0.4212 0.3391
## |
## Calothri | 0.878536 1.221715 0.205907
## | 0.3614 0.2872 0.4190
## |
## Calothri | 0.233361 0.576539 -0.439268 -0.645175
## | 0.4376 0.3872 0.4144 0.3922
## |
## Growth C | -3.747508 -3.404330 -4.420138 -4.626045 -3.980870
## | 0.0012* 0.0025* 0.0003* 0.0004* 0.0008*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -0.343178 (0.4232)
## Calothrix [1] - Calothrix [1/2] : 0.672629 (0.4212)
## Calothrix [1/16] - Calothrix [1/2] : 1.015808 (0.3391)
## Calothrix [1] - Calothrix [1/4] : 0.878536 (0.3614)
## Calothrix [1/16] - Calothrix [1/4] : 1.221715 (0.2872)
## Calothrix [1/2] - Calothrix [1/4] : 0.205907 (0.4190)
## Calothrix [1] - Calothrix [1/8] : 0.233361 (0.4376)
## Calothrix [1/16] - Calothrix [1/8] : 0.576539 (0.3872)
## Calothrix [1/2] - Calothrix [1/8] : -0.439268 (0.4144)
## Calothrix [1/4] - Calothrix [1/8] : -0.645175 (0.3922)
## Calothrix [1] - Growth Control : -3.747508 (0.0012)*
## Calothrix [1/16] - Growth Control : -3.404330 (0.0025)*
## Calothrix [1/2] - Growth Control : -4.420138 (0.0003)*
## Calothrix [1/4] - Growth Control : -4.626045 (0.0004)*
## Calothrix [1/8] - Growth Control : -3.980870 (0.0008)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 22.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 33.2683, df = 6, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Azithrom Calothri Calothri Calothri Calothri Calothri
## ---------+------------------------------------------------------------------
## Calothri | -5.747959
## | 0.0000*
## |
## Calothri | -5.747959 0.000000
## | 0.0000* 0.5000
## |
## Calothri | -4.232014 1.515945 1.515945
## | 0.0002* 0.0846 0.0899
## |
## Calothri | -3.537206 2.210753 2.210753 0.694808
## | 0.0010* 0.0263 0.0285 0.2864
## |
## Calothri | -3.947774 1.800185 1.800185 0.284239 -0.410568
## | 0.0004* 0.0553 0.0593 0.4083 0.3777
## |
## Growth C | -9.285165 -3.537206 -3.537206 -5.053151 -5.747959 -5.337391
## | 0.0000* 0.0011* 0.0012* 0.0000* 0.0000* 0.0000*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1] : -5.747959 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -5.747959 (0.0000)*
## Calothrix [1] - Calothrix [1/16] : 0.000000 (0.5000)
## Azithromycin 50 mg/L - Calothrix [1/2] : -4.232014 (0.0002)*
## Calothrix [1] - Calothrix [1/2] : 1.515945 (0.0846)
## Calothrix [1/16] - Calothrix [1/2] : 1.515945 (0.0899)
## Azithromycin 50 mg/L - Calothrix [1/4] : -3.537206 (0.0010)*
## Calothrix [1] - Calothrix [1/4] : 2.210753 (0.0263)
## Calothrix [1/16] - Calothrix [1/4] : 2.210753 (0.0285)
## Calothrix [1/2] - Calothrix [1/4] : 0.694808 (0.2864)
## Azithromycin 50 mg/L - Calothrix [1/8] : -3.947774 (0.0004)*
## Calothrix [1] - Calothrix [1/8] : 1.800185 (0.0553)
## Calothrix [1/16] - Calothrix [1/8] : 1.800185 (0.0593)
## Calothrix [1/2] - Calothrix [1/8] : 0.284239 (0.4083)
## Calothrix [1/4] - Calothrix [1/8] : -0.410568 (0.3777)
## Azithromycin 50 mg/L - Growth Control : -9.285165 (0.0000)*
## Calothrix [1] - Growth Control : -3.537206 (0.0011)*
## Calothrix [1/16] - Growth Control : -3.537206 (0.0012)*
## Calothrix [1/2] - Growth Control : -5.053151 (0.0000)*
## Calothrix [1/4] - Growth Control : -5.747959 (0.0000)*
## Calothrix [1/8] - Growth Control : -5.337391 (0.0000)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 24.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 20.9032, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 0.204104
## | 0.4197
## |
## Calothri | 0.466525 0.262420
## | 0.3713 0.4256
## |
## Calothri | 1.603681 1.399576 1.137155
## | 0.0979 0.1276 0.1793
## |
## Calothri | 2.099364 1.895259 1.632838 0.495683
## | 0.0536 0.0708 0.1043 0.3895
## |
## Growth C | -3.411466 -3.615571 -3.877992 -5.015148 -5.510831
## | 0.0024* 0.0017* 0.0011* 0.0001* 0.0000*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 0.204104 (0.4197)
## Calothrix [1] - Calothrix [1/2] : 0.466525 (0.3713)
## Calothrix [1/16] - Calothrix [1/2] : 0.262420 (0.4256)
## Calothrix [1] - Calothrix [1/4] : 1.603681 (0.0979)
## Calothrix [1/16] - Calothrix [1/4] : 1.399576 (0.1276)
## Calothrix [1/2] - Calothrix [1/4] : 1.137155 (0.1793)
## Calothrix [1] - Calothrix [1/8] : 2.099364 (0.0536)
## Calothrix [1/16] - Calothrix [1/8] : 1.895259 (0.0708)
## Calothrix [1/2] - Calothrix [1/8] : 1.632838 (0.1043)
## Calothrix [1/4] - Calothrix [1/8] : 0.495683 (0.3895)
## Calothrix [1] - Growth Control : -3.411466 (0.0024)*
## Calothrix [1/16] - Growth Control : -3.615571 (0.0017)*
## Calothrix [1/2] - Growth Control : -3.877992 (0.0011)*
## Calothrix [1/4] - Growth Control : -5.015148 (0.0001)*
## Calothrix [1/8] - Growth Control : -5.510831 (0.0000)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 26.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 31.6673, df = 6, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Azithrom Calothri Calothri Calothri Calothri Calothri
## ---------+------------------------------------------------------------------
## Calothri | -5.189147
## | 0.0000*
## |
## Calothri | -5.024174 0.164972
## | 0.0000* 0.4566
## |
## Calothri | -4.304292 0.884854 0.719881
## | 0.0001* 0.2502 0.2937
## |
## Calothri | -3.719389 1.469758 1.304785 0.584903
## | 0.0006* 0.1304 0.1493 0.3277
## |
## Calothri | -3.809374 1.379773 1.214800 0.494918 -0.089985
## | 0.0006* 0.1413 0.1619 0.3444 0.4644
## |
## Growth C | -8.818551 -3.629403 -3.794376 -4.514258 -5.099162 -5.009177
## | 0.0000* 0.0007* 0.0005* 0.0001* 0.0000* 0.0000*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1] : -5.189147 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -5.024174 (0.0000)*
## Calothrix [1] - Calothrix [1/16] : 0.164972 (0.4566)
## Azithromycin 50 mg/L - Calothrix [1/2] : -4.304292 (0.0001)*
## Calothrix [1] - Calothrix [1/2] : 0.884854 (0.2502)
## Calothrix [1/16] - Calothrix [1/2] : 0.719881 (0.2937)
## Azithromycin 50 mg/L - Calothrix [1/4] : -3.719389 (0.0006)*
## Calothrix [1] - Calothrix [1/4] : 1.469758 (0.1304)
## Calothrix [1/16] - Calothrix [1/4] : 1.304785 (0.1493)
## Calothrix [1/2] - Calothrix [1/4] : 0.584903 (0.3277)
## Azithromycin 50 mg/L - Calothrix [1/8] : -3.809374 (0.0006)*
## Calothrix [1] - Calothrix [1/8] : 1.379773 (0.1413)
## Calothrix [1/16] - Calothrix [1/8] : 1.214800 (0.1619)
## Calothrix [1/2] - Calothrix [1/8] : 0.494918 (0.3444)
## Calothrix [1/4] - Calothrix [1/8] : -0.089985 (0.4644)
## Azithromycin 50 mg/L - Growth Control : -8.818551 (0.0000)*
## Calothrix [1] - Growth Control : -3.629403 (0.0007)*
## Calothrix [1/16] - Growth Control : -3.794376 (0.0005)*
## Calothrix [1/2] - Growth Control : -4.514258 (0.0001)*
## Calothrix [1/4] - Growth Control : -5.099162 (0.0000)*
## Calothrix [1/8] - Growth Control : -5.009177 (0.0000)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 28.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 18.5339, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -0.413663
## | 0.3932
## |
## Calothri | 0.275775 0.689438
## | 0.4202 0.3712
## |
## Calothri | 1.020368 1.434031 0.744593
## | 0.3368 0.2002 0.3845
## |
## Calothri | 0.496395 0.910058 0.220620 -0.523973
## | 0.3891 0.3458 0.4133 0.4115
## |
## Growth C | -3.778122 -3.364459 -4.053897 -4.798491 -4.274518
## | 0.0011* 0.0027* 0.0006* 0.0002* 0.0005*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -0.413663 (0.3932)
## Calothrix [1] - Calothrix [1/2] : 0.275775 (0.4202)
## Calothrix [1/16] - Calothrix [1/2] : 0.689438 (0.3712)
## Calothrix [1] - Calothrix [1/4] : 1.020368 (0.3368)
## Calothrix [1/16] - Calothrix [1/4] : 1.434031 (0.2002)
## Calothrix [1/2] - Calothrix [1/4] : 0.744593 (0.3845)
## Calothrix [1] - Calothrix [1/8] : 0.496395 (0.3891)
## Calothrix [1/16] - Calothrix [1/8] : 0.910058 (0.3458)
## Calothrix [1/2] - Calothrix [1/8] : 0.220620 (0.4133)
## Calothrix [1/4] - Calothrix [1/8] : -0.523973 (0.4115)
## Calothrix [1] - Growth Control : -3.778122 (0.0011)*
## Calothrix [1/16] - Growth Control : -3.364459 (0.0027)*
## Calothrix [1/2] - Growth Control : -4.053897 (0.0006)*
## Calothrix [1/4] - Growth Control : -4.798491 (0.0002)*
## Calothrix [1/8] - Growth Control : -4.274518 (0.0005)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 30.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 19.1202, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -0.335348
## | 0.3961
## |
## Calothri | 0.363294 0.698642
## | 0.4145 0.3336
## |
## Calothri | 1.369339 1.704687 1.006045
## | 0.1922 0.1211 0.3010
## |
## Calothri | 0.558913 0.894262 0.195619 -0.810425
## | 0.3623 0.3143 0.4230 0.3173
## |
## Growth C | -3.716777 -3.381429 -4.080071 -5.086116 -4.275691
## | 0.0013* 0.0026* 0.0006* 0.0001* 0.0005*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -0.335348 (0.3961)
## Calothrix [1] - Calothrix [1/2] : 0.363294 (0.4145)
## Calothrix [1/16] - Calothrix [1/2] : 0.698642 (0.3336)
## Calothrix [1] - Calothrix [1/4] : 1.369339 (0.1922)
## Calothrix [1/16] - Calothrix [1/4] : 1.704687 (0.1211)
## Calothrix [1/2] - Calothrix [1/4] : 1.006045 (0.3010)
## Calothrix [1] - Calothrix [1/8] : 0.558913 (0.3623)
## Calothrix [1/16] - Calothrix [1/8] : 0.894262 (0.3143)
## Calothrix [1/2] - Calothrix [1/8] : 0.195619 (0.4230)
## Calothrix [1/4] - Calothrix [1/8] : -0.810425 (0.3173)
## Calothrix [1] - Growth Control : -3.716777 (0.0013)*
## Calothrix [1/16] - Growth Control : -3.381429 (0.0026)*
## Calothrix [1/2] - Growth Control : -4.080071 (0.0006)*
## Calothrix [1/4] - Growth Control : -5.086116 (0.0001)*
## Calothrix [1/8] - Growth Control : -4.275691 (0.0005)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 3
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 0, df = 0, p-value = 1## Error in Psort[1, i]: subscript out of boundsSalmonella Inhibition
For Salmonella too, stored in the dataframe Calo_salm,
we will perform looped Conover Post-Hoc Tests.
tiempo_levels <- unique(Calo_salm$tiempo)
# Initialize a list to store the test results
conover_results <- list()
# Perform Conover test for each level of tiempo
for (level in tiempo_levels) {
# Subset data for the current level of tiempo
data_subset <- Calo_salm[Calo_salm$tiempo == level, ]
# Print the current level of tiempo
cat("Conover test for tiempo:", level, "\n")
# Perform Conover test
conover_result <- conover.test(data_subset$abs, data_subset$tratamiento, method = "bh", list = TRUE)
# Store the result in the list
conover_results[[as.character(level)]] <- conover_result
}## Conover test for tiempo: 0
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 37.8125, df = 6, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Azithrom Calothri Calothri Calothri Calothri Calothri
## ---------+------------------------------------------------------------------
## Calothri | -5.717316
## | 0.0000*
## |
## Calothri | -10.75083 -5.033518
## | 0.0000* 0.0000*
## |
## Calothri | -6.856981 -1.139664 3.893853
## | 0.0000* 0.1370 0.0004*
## |
## Calothri | -3.286032 2.431284 7.464802 3.570948
## | 0.0017* 0.0127* 0.0000* 0.0008*
## |
## Calothri | -8.718433 -3.001116 2.032401 -1.861452 -5.432400
## | 0.0000* 0.0032* 0.0299 0.0385 0.0000*
## |
## Growth C | -3.760892 1.956424 6.989942 3.096088 -0.474860 4.957540
## | 0.0005* 0.0333 0.0000* 0.0026* 0.3187 0.0000*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1] : -5.717316 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -10.75083 (0.0000)*
## Calothrix [1] - Calothrix [1/16] : -5.033518 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/2] : -6.856981 (0.0000)*
## Calothrix [1] - Calothrix [1/2] : -1.139664 (0.1370)
## Calothrix [1/16] - Calothrix [1/2] : 3.893853 (0.0004)*
## Azithromycin 50 mg/L - Calothrix [1/4] : -3.286032 (0.0017)*
## Calothrix [1] - Calothrix [1/4] : 2.431284 (0.0127)*
## Calothrix [1/16] - Calothrix [1/4] : 7.464802 (0.0000)*
## Calothrix [1/2] - Calothrix [1/4] : 3.570948 (0.0008)*
## Azithromycin 50 mg/L - Calothrix [1/8] : -8.718433 (0.0000)*
## Calothrix [1] - Calothrix [1/8] : -3.001116 (0.0032)*
## Calothrix [1/16] - Calothrix [1/8] : 2.032401 (0.0299)
## Calothrix [1/2] - Calothrix [1/8] : -1.861452 (0.0385)
## Calothrix [1/4] - Calothrix [1/8] : -5.432400 (0.0000)*
## Azithromycin 50 mg/L - Growth Control : -3.760892 (0.0005)*
## Calothrix [1] - Growth Control : 1.956424 (0.0333)
## Calothrix [1/16] - Growth Control : 6.989942 (0.0000)*
## Calothrix [1/2] - Growth Control : 3.096088 (0.0026)*
## Calothrix [1/4] - Growth Control : -0.474860 (0.3187)
## Calothrix [1/8] - Growth Control : 4.957540 (0.0000)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 1.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 20.6551, df = 6, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Azithrom Calothri Calothri Calothri Calothri Calothri
## ---------+------------------------------------------------------------------
## Calothri | -3.442710
## | 0.0023*
## |
## Calothri | -5.262594 -1.819883
## | 0.0000* 0.1139
## |
## Calothri | -4.057066 -0.614355 1.205528
## | 0.0011* 0.4745 0.2241
## |
## Calothri | -3.987516 -0.544806 1.275077 0.069549
## | 0.0009* 0.4416 0.2198 0.4961
## |
## Calothri | -3.616584 -0.173874 1.646009 0.440481 0.370931
## | 0.0021* 0.5033 0.1251 0.4343 0.4401
## |
## Growth C | -3.489076 -0.046366 1.773517 0.567989 0.498439 0.127507
## | 0.0024* 0.4816 0.1095 0.4629 0.4345 0.4969
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1] : -3.442710 (0.0023)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -5.262594 (0.0000)*
## Calothrix [1] - Calothrix [1/16] : -1.819883 (0.1139)
## Azithromycin 50 mg/L - Calothrix [1/2] : -4.057066 (0.0011)*
## Calothrix [1] - Calothrix [1/2] : -0.614355 (0.4745)
## Calothrix [1/16] - Calothrix [1/2] : 1.205528 (0.2241)
## Azithromycin 50 mg/L - Calothrix [1/4] : -3.987516 (0.0009)*
## Calothrix [1] - Calothrix [1/4] : -0.544806 (0.4416)
## Calothrix [1/16] - Calothrix [1/4] : 1.275077 (0.2198)
## Calothrix [1/2] - Calothrix [1/4] : 0.069549 (0.4961)
## Azithromycin 50 mg/L - Calothrix [1/8] : -3.616584 (0.0021)*
## Calothrix [1] - Calothrix [1/8] : -0.173874 (0.5033)
## Calothrix [1/16] - Calothrix [1/8] : 1.646009 (0.1251)
## Calothrix [1/2] - Calothrix [1/8] : 0.440481 (0.4343)
## Calothrix [1/4] - Calothrix [1/8] : 0.370931 (0.4401)
## Azithromycin 50 mg/L - Growth Control : -3.489076 (0.0024)*
## Calothrix [1] - Growth Control : -0.046366 (0.4816)
## Calothrix [1/16] - Growth Control : 1.773517 (0.1095)
## Calothrix [1/2] - Growth Control : 0.567989 (0.4629)
## Calothrix [1/4] - Growth Control : 0.498439 (0.4345)
## Calothrix [1/8] - Growth Control : 0.127507 (0.4969)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 3.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 25.4044, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -2.912729
## | 0.0057*
## |
## Calothri | 1.092273 4.005002
## | 0.1762 0.0006*
## |
## Calothri | 0.198595 3.111324 -0.893678
## | 0.4218 0.0039* 0.2177
## |
## Calothri | -2.250745 0.661983 -3.343018 -2.449340
## | 0.0209* 0.2744 0.0029* 0.0145*
## |
## Growth C | -5.362070 -2.449340 -6.454343 -5.560665 -3.111324
## | 0.0000* 0.0161* 0.0000* 0.0000* 0.0045*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -2.912729 (0.0057)*
## Calothrix [1] - Calothrix [1/2] : 1.092273 (0.1762)
## Calothrix [1/16] - Calothrix [1/2] : 4.005002 (0.0006)*
## Calothrix [1] - Calothrix [1/4] : 0.198595 (0.4218)
## Calothrix [1/16] - Calothrix [1/4] : 3.111324 (0.0039)*
## Calothrix [1/2] - Calothrix [1/4] : -0.893678 (0.2177)
## Calothrix [1] - Calothrix [1/8] : -2.250745 (0.0209)*
## Calothrix [1/16] - Calothrix [1/8] : 0.661983 (0.2744)
## Calothrix [1/2] - Calothrix [1/8] : -3.343018 (0.0029)*
## Calothrix [1/4] - Calothrix [1/8] : -2.449340 (0.0145)*
## Calothrix [1] - Growth Control : -5.362070 (0.0000)*
## Calothrix [1/16] - Growth Control : -2.449340 (0.0161)*
## Calothrix [1/2] - Growth Control : -6.454343 (0.0000)*
## Calothrix [1/4] - Growth Control : -5.560665 (0.0000)*
## Calothrix [1/8] - Growth Control : -3.111324 (0.0045)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 6.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 19.4357, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -1.379263
## | 0.1469
## |
## Calothri | -0.281482 1.097781
## | 0.3900 0.1906
## |
## Calothri | -0.619261 0.760002 -0.337778
## | 0.3113 0.2826 0.3951
## |
## Calothri | -2.477044 -1.097781 -2.195562 -1.857783
## | 0.0271 0.2097 0.0371 0.0669
## |
## Growth C | -4.785200 -3.405936 -4.503717 -4.165939 -2.308155
## | 0.0002* 0.0031* 0.0003* 0.0005* 0.0336
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -1.379263 (0.1469)
## Calothrix [1] - Calothrix [1/2] : -0.281482 (0.3900)
## Calothrix [1/16] - Calothrix [1/2] : 1.097781 (0.1906)
## Calothrix [1] - Calothrix [1/4] : -0.619261 (0.3113)
## Calothrix [1/16] - Calothrix [1/4] : 0.760002 (0.2826)
## Calothrix [1/2] - Calothrix [1/4] : -0.337778 (0.3951)
## Calothrix [1] - Calothrix [1/8] : -2.477044 (0.0271)
## Calothrix [1/16] - Calothrix [1/8] : -1.097781 (0.2097)
## Calothrix [1/2] - Calothrix [1/8] : -2.195562 (0.0371)
## Calothrix [1/4] - Calothrix [1/8] : -1.857783 (0.0669)
## Calothrix [1] - Growth Control : -4.785200 (0.0002)*
## Calothrix [1/16] - Growth Control : -3.405936 (0.0031)*
## Calothrix [1/2] - Growth Control : -4.503717 (0.0003)*
## Calothrix [1/4] - Growth Control : -4.165939 (0.0005)*
## Calothrix [1/8] - Growth Control : -2.308155 (0.0336)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 18
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 36.5878, df = 6, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Azithrom Calothri Calothri Calothri Calothri Calothri
## ---------+------------------------------------------------------------------
## Calothri | -7.284147
## | 0.0000*
## |
## Calothri | -4.664724 2.619422
## | 0.0000* 0.0075*
## |
## Calothri | -4.054722 3.229424 0.610002
## | 0.0002* 0.0019* 0.2862
## |
## Calothri | -3.265307 4.018839 1.399417 0.789414
## | 0.0019* 0.0002* 0.0986 0.2400
## |
## Calothri | -7.355912 -0.071764 -2.691187 -3.301189 -4.090604
## | 0.0000* 0.4716 0.0067* 0.0019* 0.0003*
## |
## Growth C | -10.29827 -3.014129 -5.633552 -6.243554 -7.032969 -2.942364
## | 0.0000* 0.0033* 0.0000* 0.0000* 0.0000* 0.0037*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1] : -7.284147 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -4.664724 (0.0000)*
## Calothrix [1] - Calothrix [1/16] : 2.619422 (0.0075)*
## Azithromycin 50 mg/L - Calothrix [1/2] : -4.054722 (0.0002)*
## Calothrix [1] - Calothrix [1/2] : 3.229424 (0.0019)*
## Calothrix [1/16] - Calothrix [1/2] : 0.610002 (0.2862)
## Azithromycin 50 mg/L - Calothrix [1/4] : -3.265307 (0.0019)*
## Calothrix [1] - Calothrix [1/4] : 4.018839 (0.0002)*
## Calothrix [1/16] - Calothrix [1/4] : 1.399417 (0.0986)
## Calothrix [1/2] - Calothrix [1/4] : 0.789414 (0.2400)
## Azithromycin 50 mg/L - Calothrix [1/8] : -7.355912 (0.0000)*
## Calothrix [1] - Calothrix [1/8] : -0.071764 (0.4716)
## Calothrix [1/16] - Calothrix [1/8] : -2.691187 (0.0067)*
## Calothrix [1/2] - Calothrix [1/8] : -3.301189 (0.0019)*
## Calothrix [1/4] - Calothrix [1/8] : -4.090604 (0.0003)*
## Azithromycin 50 mg/L - Growth Control : -10.29827 (0.0000)*
## Calothrix [1] - Growth Control : -3.014129 (0.0033)*
## Calothrix [1/16] - Growth Control : -5.633552 (0.0000)*
## Calothrix [1/2] - Growth Control : -6.243554 (0.0000)*
## Calothrix [1/4] - Growth Control : -7.032969 (0.0000)*
## Calothrix [1/8] - Growth Control : -2.942364 (0.0037)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 20
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 21.2715, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 2.207155
## | 0.0422
## |
## Calothri | 2.148298 -0.058857
## | 0.0412 0.4767
## |
## Calothri | 1.383150 -0.824004 -0.765147
## | 0.1314 0.2596 0.2591
## |
## Calothri | 0.235429 -1.971725 -1.912868 -1.147720
## | 0.4367 0.0528 0.0531 0.1764
## |
## Growth C | -3.060589 -5.267744 -5.208887 -4.443739 -3.296019
## | 0.0062* 0.0000* 0.0000* 0.0002* 0.0041*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 2.207155 (0.0422)
## Calothrix [1] - Calothrix [1/2] : 2.148298 (0.0412)
## Calothrix [1/16] - Calothrix [1/2] : -0.058857 (0.4767)
## Calothrix [1] - Calothrix [1/4] : 1.383150 (0.1314)
## Calothrix [1/16] - Calothrix [1/4] : -0.824004 (0.2596)
## Calothrix [1/2] - Calothrix [1/4] : -0.765147 (0.2591)
## Calothrix [1] - Calothrix [1/8] : 0.235429 (0.4367)
## Calothrix [1/16] - Calothrix [1/8] : -1.971725 (0.0528)
## Calothrix [1/2] - Calothrix [1/8] : -1.912868 (0.0531)
## Calothrix [1/4] - Calothrix [1/8] : -1.147720 (0.1764)
## Calothrix [1] - Growth Control : -3.060589 (0.0062)*
## Calothrix [1/16] - Growth Control : -5.267744 (0.0000)*
## Calothrix [1/2] - Growth Control : -5.208887 (0.0000)*
## Calothrix [1/4] - Growth Control : -4.443739 (0.0002)*
## Calothrix [1/8] - Growth Control : -3.296019 (0.0041)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 22.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 34.1339, df = 6, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Azithrom Calothri Calothri Calothri Calothri Calothri
## ---------+------------------------------------------------------------------
## Calothri | -6.120268
## | 0.0000*
## |
## Calothri | -2.799697 3.320571
## | 0.0067* 0.0018*
## |
## Calothri | -5.111075 1.009193 -2.311377
## | 0.0000* 0.1859 0.0208*
## |
## Calothri | -4.883192 1.237075 -2.083495 0.227882
## | 0.0000* 0.1463 0.0303 0.4536
## |
## Calothri | -5.013411 1.106857 -2.213714 0.097663 -0.130218
## | 0.0000* 0.1696 0.0242* 0.4613 0.4709
## |
## Growth C | -9.571057 -3.450789 -6.771360 -4.459982 -4.687865 -4.557646
## | 0.0000* 0.0014* 0.0000* 0.0001* 0.0000* 0.0001*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1] : -6.120268 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -2.799697 (0.0067)*
## Calothrix [1] - Calothrix [1/16] : 3.320571 (0.0018)*
## Azithromycin 50 mg/L - Calothrix [1/2] : -5.111075 (0.0000)*
## Calothrix [1] - Calothrix [1/2] : 1.009193 (0.1859)
## Calothrix [1/16] - Calothrix [1/2] : -2.311377 (0.0208)*
## Azithromycin 50 mg/L - Calothrix [1/4] : -4.883192 (0.0000)*
## Calothrix [1] - Calothrix [1/4] : 1.237075 (0.1463)
## Calothrix [1/16] - Calothrix [1/4] : -2.083495 (0.0303)
## Calothrix [1/2] - Calothrix [1/4] : 0.227882 (0.4536)
## Azithromycin 50 mg/L - Calothrix [1/8] : -5.013411 (0.0000)*
## Calothrix [1] - Calothrix [1/8] : 1.106857 (0.1696)
## Calothrix [1/16] - Calothrix [1/8] : -2.213714 (0.0242)*
## Calothrix [1/2] - Calothrix [1/8] : 0.097663 (0.4613)
## Calothrix [1/4] - Calothrix [1/8] : -0.130218 (0.4709)
## Azithromycin 50 mg/L - Growth Control : -9.571057 (0.0000)*
## Calothrix [1] - Growth Control : -3.450789 (0.0014)*
## Calothrix [1/16] - Growth Control : -6.771360 (0.0000)*
## Calothrix [1/2] - Growth Control : -4.459982 (0.0001)*
## Calothrix [1/4] - Growth Control : -4.687865 (0.0000)*
## Calothrix [1/8] - Growth Control : -4.557646 (0.0001)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 24.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 20.0755, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 2.600353
## | 0.0168*
## |
## Calothri | 0.771533 -1.828820
## | 0.3341 0.0631
## |
## Calothri | 0.742958 -1.857395 -0.028575
## | 0.2890 0.0670 0.5236
## |
## Calothri | 0.742958 -1.857395 -0.028575 0.000000
## | 0.3152 0.0766 0.5639 0.5000
## |
## Growth C | -3.057558 -5.657912 -3.829092 -3.800517 -3.800517
## | 0.0063* 0.0000* 0.0019* 0.0010* 0.0013*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 2.600353 (0.0168)*
## Calothrix [1] - Calothrix [1/2] : 0.771533 (0.3341)
## Calothrix [1/16] - Calothrix [1/2] : -1.828820 (0.0631)
## Calothrix [1] - Calothrix [1/4] : 0.742958 (0.2890)
## Calothrix [1/16] - Calothrix [1/4] : -1.857395 (0.0670)
## Calothrix [1/2] - Calothrix [1/4] : -0.028575 (0.5236)
## Calothrix [1] - Calothrix [1/8] : 0.742958 (0.3152)
## Calothrix [1/16] - Calothrix [1/8] : -1.857395 (0.0766)
## Calothrix [1/2] - Calothrix [1/8] : -0.028575 (0.5639)
## Calothrix [1/4] - Calothrix [1/8] : 0.000000 (0.5000)
## Calothrix [1] - Growth Control : -3.057558 (0.0063)*
## Calothrix [1/16] - Growth Control : -5.657912 (0.0000)*
## Calothrix [1/2] - Growth Control : -3.829092 (0.0019)*
## Calothrix [1/4] - Growth Control : -3.800517 (0.0010)*
## Calothrix [1/8] - Growth Control : -3.800517 (0.0013)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 26.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 31.1622, df = 6, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Azithrom Calothri Calothri Calothri Calothri Calothri
## ---------+------------------------------------------------------------------
## Calothri | -4.992435
## | 0.0000*
## |
## Calothri | -2.776857 2.215577
## | 0.0078* 0.0260
## |
## Calothri | -4.844730 0.147705 -2.067872
## | 0.0000* 0.4637 0.0336
## |
## Calothri | -5.051517 -0.059082 -2.274659 -0.206787
## | 0.0000* 0.4766 0.0246* 0.4626
## |
## Calothri | -4.342532 0.649902 -1.565674 0.502197 0.708984
## | 0.0002* 0.3207 0.0875 0.3606 0.3165
## |
## Growth C | -8.389654 -3.397219 -5.612797 -3.544924 -3.338137 -4.047122
## | 0.0000* 0.0018* 0.0000* 0.0013* 0.0019* 0.0003*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1] : -4.992435 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -2.776857 (0.0078)*
## Calothrix [1] - Calothrix [1/16] : 2.215577 (0.0260)
## Azithromycin 50 mg/L - Calothrix [1/2] : -4.844730 (0.0000)*
## Calothrix [1] - Calothrix [1/2] : 0.147705 (0.4637)
## Calothrix [1/16] - Calothrix [1/2] : -2.067872 (0.0336)
## Azithromycin 50 mg/L - Calothrix [1/4] : -5.051517 (0.0000)*
## Calothrix [1] - Calothrix [1/4] : -0.059082 (0.4766)
## Calothrix [1/16] - Calothrix [1/4] : -2.274659 (0.0246)*
## Calothrix [1/2] - Calothrix [1/4] : -0.206787 (0.4626)
## Azithromycin 50 mg/L - Calothrix [1/8] : -4.342532 (0.0002)*
## Calothrix [1] - Calothrix [1/8] : 0.649902 (0.3207)
## Calothrix [1/16] - Calothrix [1/8] : -1.565674 (0.0875)
## Calothrix [1/2] - Calothrix [1/8] : 0.502197 (0.3606)
## Calothrix [1/4] - Calothrix [1/8] : 0.708984 (0.3165)
## Azithromycin 50 mg/L - Growth Control : -8.389654 (0.0000)*
## Calothrix [1] - Growth Control : -3.397219 (0.0018)*
## Calothrix [1/16] - Growth Control : -5.612797 (0.0000)*
## Calothrix [1/2] - Growth Control : -3.544924 (0.0013)*
## Calothrix [1/4] - Growth Control : -3.338137 (0.0019)*
## Calothrix [1/8] - Growth Control : -4.047122 (0.0003)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 28.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 19.0389, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 2.454566
## | 0.0238*
## |
## Calothri | 0.948355 -1.506211
## | 0.2620 0.1173
## |
## Calothri | 0.920462 -1.534104 -0.027892
## | 0.2478 0.1254 0.4890
## |
## Calothri | 0.306820 -2.147745 -0.641534 -0.613641
## | 0.4075 0.0413 0.3283 0.3134
## |
## Growth C | -2.872958 -5.327524 -3.821313 -3.793420 -3.179779
## | 0.0102* 0.0000* 0.0019* 0.0014* 0.0057*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 2.454566 (0.0238)*
## Calothrix [1] - Calothrix [1/2] : 0.948355 (0.2620)
## Calothrix [1/16] - Calothrix [1/2] : -1.506211 (0.1173)
## Calothrix [1] - Calothrix [1/4] : 0.920462 (0.2478)
## Calothrix [1/16] - Calothrix [1/4] : -1.534104 (0.1254)
## Calothrix [1/2] - Calothrix [1/4] : -0.027892 (0.4890)
## Calothrix [1] - Calothrix [1/8] : 0.306820 (0.4075)
## Calothrix [1/16] - Calothrix [1/8] : -2.147745 (0.0413)
## Calothrix [1/2] - Calothrix [1/8] : -0.641534 (0.3283)
## Calothrix [1/4] - Calothrix [1/8] : -0.613641 (0.3134)
## Calothrix [1] - Growth Control : -2.872958 (0.0102)*
## Calothrix [1/16] - Growth Control : -5.327524 (0.0000)*
## Calothrix [1/2] - Growth Control : -3.821313 (0.0019)*
## Calothrix [1/4] - Growth Control : -3.793420 (0.0014)*
## Calothrix [1/8] - Growth Control : -3.179779 (0.0057)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 30.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 19.0199, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 3.206286
## | 0.0053*
## |
## Calothri | 0.697018 -2.509267
## | 0.3064 0.0209*
## |
## Calothri | 0.975826 -2.230460 0.278807
## | 0.2289 0.0300 0.4189
## |
## Calothri | 1.115230 -2.091056 0.418211 0.139403
## | 0.2041 0.0364 0.3913 0.4450
## |
## Growth C | -2.230460 -5.436746 -2.927478 -3.206286 -3.345690
## | 0.0343 0.0000* 0.0088* 0.0070* 0.0072*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 3.206286 (0.0053)*
## Calothrix [1] - Calothrix [1/2] : 0.697018 (0.3064)
## Calothrix [1/16] - Calothrix [1/2] : -2.509267 (0.0209)*
## Calothrix [1] - Calothrix [1/4] : 0.975826 (0.2289)
## Calothrix [1/16] - Calothrix [1/4] : -2.230460 (0.0300)
## Calothrix [1/2] - Calothrix [1/4] : 0.278807 (0.4189)
## Calothrix [1] - Calothrix [1/8] : 1.115230 (0.2041)
## Calothrix [1/16] - Calothrix [1/8] : -2.091056 (0.0364)
## Calothrix [1/2] - Calothrix [1/8] : 0.418211 (0.3913)
## Calothrix [1/4] - Calothrix [1/8] : 0.139403 (0.4450)
## Calothrix [1] - Growth Control : -2.230460 (0.0343)
## Calothrix [1/16] - Growth Control : -5.436746 (0.0000)*
## Calothrix [1/2] - Growth Control : -2.927478 (0.0088)*
## Calothrix [1/4] - Growth Control : -3.206286 (0.0070)*
## Calothrix [1/8] - Growth Control : -3.345690 (0.0072)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 3
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 0, df = 0, p-value = 1## Error in Psort[1, i]: subscript out of boundsS. saureus Inhibition
For S. saureus too, stored in the dataframe Calo_saur,
we will perform looped Conover Post-Hoc Tests.
tiempo_levels <- unique(Calo_saur$tiempo)
# Initialize a list to store the test results
conover_results <- list()
# Perform Conover test for each level of tiempo
for (level in tiempo_levels) {
# Subset data for the current level of tiempo
data_subset <- Calo_saur[Calo_saur$tiempo == level, ]
# Print the current level of tiempo
cat("Conover test for tiempo:", level, "\n")
# Perform Conover test
conover_result <- conover.test(data_subset$abs, data_subset$tratamiento, method = "bh", list = TRUE)
# Store the result in the list
conover_results[[as.character(level)]] <- conover_result
}## Conover test for tiempo: 0
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 17.4398, df = 6, p-value = 0.01
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Azithrom Calothri Calothri Calothri Calothri Calothri
## ---------+------------------------------------------------------------------
## Calothri | -2.939642
## | 0.0186*
## |
## Calothri | -4.233962 -1.294320
## | 0.0013* 0.1520
## |
## Calothri | -2.424107 0.515534 1.809854
## | 0.0345 0.3552 0.1017
## |
## Calothri | -3.740365 -0.800723 0.493596 -1.316257
## | 0.0029* 0.2642 0.3449 0.1577
## |
## Calothri | -2.895766 0.043875 1.338195 -0.471659 0.844598
## | 0.0157* 0.4826 0.1795 0.3358 0.2645
## |
## Growth C | -1.579509 1.360132 2.654452 0.844598 2.160856 1.316257
## | 0.1420 0.1901 0.0235* 0.2822 0.0547 0.1708
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1] : -2.939642 (0.0186)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -4.233962 (0.0013)*
## Calothrix [1] - Calothrix [1/16] : -1.294320 (0.1520)
## Azithromycin 50 mg/L - Calothrix [1/2] : -2.424107 (0.0345)
## Calothrix [1] - Calothrix [1/2] : 0.515534 (0.3552)
## Calothrix [1/16] - Calothrix [1/2] : 1.809854 (0.1017)
## Azithromycin 50 mg/L - Calothrix [1/4] : -3.740365 (0.0029)*
## Calothrix [1] - Calothrix [1/4] : -0.800723 (0.2642)
## Calothrix [1/16] - Calothrix [1/4] : 0.493596 (0.3449)
## Calothrix [1/2] - Calothrix [1/4] : -1.316257 (0.1577)
## Azithromycin 50 mg/L - Calothrix [1/8] : -2.895766 (0.0157)*
## Calothrix [1] - Calothrix [1/8] : 0.043875 (0.4826)
## Calothrix [1/16] - Calothrix [1/8] : 1.338195 (0.1795)
## Calothrix [1/2] - Calothrix [1/8] : -0.471659 (0.3358)
## Calothrix [1/4] - Calothrix [1/8] : 0.844598 (0.2645)
## Azithromycin 50 mg/L - Growth Control : -1.579509 (0.1420)
## Calothrix [1] - Growth Control : 1.360132 (0.1901)
## Calothrix [1/16] - Growth Control : 2.654452 (0.0235)*
## Calothrix [1/2] - Growth Control : 0.844598 (0.2822)
## Calothrix [1/4] - Growth Control : 2.160856 (0.0547)
## Calothrix [1/8] - Growth Control : 1.316257 (0.1708)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 1.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 19.6722, df = 6, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Azithrom Calothri Calothri Calothri Calothri Calothri
## ---------+------------------------------------------------------------------
## Calothri | -4.896914
## | 0.0002*
## |
## Calothri | -3.405063 1.491850
## | 0.0031* 0.1880
## |
## Calothri | -4.099742 0.797172 -0.694678
## | 0.0010* 0.3224 0.3223
## |
## Calothri | -3.723932 1.172981 -0.318868 0.375809
## | 0.0020* 0.2362 0.4153 0.4136
## |
## Calothri | -3.496168 1.400745 -0.091105 0.603573 0.227763
## | 0.0030* 0.1771 0.4639 0.3393 0.4310
## |
## Growth C | -2.698996 2.197917 0.706066 1.400745 1.024935 0.797172
## | 0.0175* 0.0503 0.3388 0.1967 0.2724 0.3472
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1] : -4.896914 (0.0002)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -3.405063 (0.0031)*
## Calothrix [1] - Calothrix [1/16] : 1.491850 (0.1880)
## Azithromycin 50 mg/L - Calothrix [1/2] : -4.099742 (0.0010)*
## Calothrix [1] - Calothrix [1/2] : 0.797172 (0.3224)
## Calothrix [1/16] - Calothrix [1/2] : -0.694678 (0.3223)
## Azithromycin 50 mg/L - Calothrix [1/4] : -3.723932 (0.0020)*
## Calothrix [1] - Calothrix [1/4] : 1.172981 (0.2362)
## Calothrix [1/16] - Calothrix [1/4] : -0.318868 (0.4153)
## Calothrix [1/2] - Calothrix [1/4] : 0.375809 (0.4136)
## Azithromycin 50 mg/L - Calothrix [1/8] : -3.496168 (0.0030)*
## Calothrix [1] - Calothrix [1/8] : 1.400745 (0.1771)
## Calothrix [1/16] - Calothrix [1/8] : -0.091105 (0.4639)
## Calothrix [1/2] - Calothrix [1/8] : 0.603573 (0.3393)
## Calothrix [1/4] - Calothrix [1/8] : 0.227763 (0.4310)
## Azithromycin 50 mg/L - Growth Control : -2.698996 (0.0175)*
## Calothrix [1] - Growth Control : 2.197917 (0.0503)
## Calothrix [1/16] - Growth Control : 0.706066 (0.3388)
## Calothrix [1/2] - Growth Control : 1.400745 (0.1967)
## Calothrix [1/4] - Growth Control : 1.024935 (0.2724)
## Calothrix [1/8] - Growth Control : 0.797172 (0.3472)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 3.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 10.0271, df = 5, p-value = 0.07
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 1.362246
## | 0.1946
## |
## Calothri | 0.375792 -0.986454
## | 0.4433 0.2253
## |
## Calothri | 1.362246 0.000000 0.986454
## | 0.2270 0.5000 0.2479
## |
## Calothri | 1.385733 0.023487 1.009941 0.023487
## | 0.2615 0.5257 0.2661 0.5662
## |
## Growth C | -1.315272 -2.677519 -1.691064 -2.677519 -2.701006
## | 0.1844 0.0278 0.1865 0.0416 0.0785
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 1.362246 (0.1946)
## Calothrix [1] - Calothrix [1/2] : 0.375792 (0.4433)
## Calothrix [1/16] - Calothrix [1/2] : -0.986454 (0.2253)
## Calothrix [1] - Calothrix [1/4] : 1.362246 (0.2270)
## Calothrix [1/16] - Calothrix [1/4] : 0.000000 (0.5000)
## Calothrix [1/2] - Calothrix [1/4] : 0.986454 (0.2479)
## Calothrix [1] - Calothrix [1/8] : 1.385733 (0.2615)
## Calothrix [1/16] - Calothrix [1/8] : 0.023487 (0.5257)
## Calothrix [1/2] - Calothrix [1/8] : 1.009941 (0.2661)
## Calothrix [1/4] - Calothrix [1/8] : 0.023487 (0.5662)
## Calothrix [1] - Growth Control : -1.315272 (0.1844)
## Calothrix [1/16] - Growth Control : -2.677519 (0.0278)
## Calothrix [1/2] - Growth Control : -1.691064 (0.1865)
## Calothrix [1/4] - Growth Control : -2.677519 (0.0416)
## Calothrix [1/8] - Growth Control : -2.701006 (0.0785)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 6.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 18.7847, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -1.206472
## | 0.1963
## |
## Calothri | -0.291217 0.915255
## | 0.3863 0.2496
## |
## Calothri | -0.748845 0.457627 -0.457627
## | 0.2868 0.3750 0.3482
## |
## Calothri | -2.288138 -1.081665 -1.996920 -1.539293
## | 0.0351 0.2149 0.0573 0.1242
## |
## Growth C | -4.701084 -3.494611 -4.409866 -3.952238 -2.412945
## | 0.0003* 0.0024* 0.0003* 0.0009* 0.0316
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -1.206472 (0.1963)
## Calothrix [1] - Calothrix [1/2] : -0.291217 (0.3863)
## Calothrix [1/16] - Calothrix [1/2] : 0.915255 (0.2496)
## Calothrix [1] - Calothrix [1/4] : -0.748845 (0.2868)
## Calothrix [1/16] - Calothrix [1/4] : 0.457627 (0.3750)
## Calothrix [1/2] - Calothrix [1/4] : -0.457627 (0.3482)
## Calothrix [1] - Calothrix [1/8] : -2.288138 (0.0351)
## Calothrix [1/16] - Calothrix [1/8] : -1.081665 (0.2149)
## Calothrix [1/2] - Calothrix [1/8] : -1.996920 (0.0573)
## Calothrix [1/4] - Calothrix [1/8] : -1.539293 (0.1242)
## Calothrix [1] - Growth Control : -4.701084 (0.0003)*
## Calothrix [1/16] - Growth Control : -3.494611 (0.0024)*
## Calothrix [1/2] - Growth Control : -4.409866 (0.0003)*
## Calothrix [1/4] - Growth Control : -3.952238 (0.0009)*
## Calothrix [1/8] - Growth Control : -2.412945 (0.0316)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 18
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 31.1118, df = 6, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Azithrom Calothri Calothri Calothri Calothri Calothri
## ---------+------------------------------------------------------------------
## Calothri | -5.102971
## | 0.0000*
## |
## Calothri | -3.923093 1.179877
## | 0.0004* 0.1976
## |
## Calothri | -4.631019 0.471951 -0.707926
## | 0.0001* 0.3730 0.3169
## |
## Calothri | -4.129571 0.973399 -0.206478 0.501448
## | 0.0003* 0.2519 0.4396 0.3821
## |
## Calothri | -3.893596 1.209374 0.029496 0.737423 0.235975
## | 0.0004* 0.2041 0.4883 0.3255 0.4502
## |
## Growth C | -8.672101 -3.569130 -4.749007 -4.041081 -4.542529 -4.778504
## | 0.0000* 0.0009* 0.0001* 0.0003* 0.0001* 0.0001*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1] : -5.102971 (0.0000)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -3.923093 (0.0004)*
## Calothrix [1] - Calothrix [1/16] : 1.179877 (0.1976)
## Azithromycin 50 mg/L - Calothrix [1/2] : -4.631019 (0.0001)*
## Calothrix [1] - Calothrix [1/2] : 0.471951 (0.3730)
## Calothrix [1/16] - Calothrix [1/2] : -0.707926 (0.3169)
## Azithromycin 50 mg/L - Calothrix [1/4] : -4.129571 (0.0003)*
## Calothrix [1] - Calothrix [1/4] : 0.973399 (0.2519)
## Calothrix [1/16] - Calothrix [1/4] : -0.206478 (0.4396)
## Calothrix [1/2] - Calothrix [1/4] : 0.501448 (0.3821)
## Azithromycin 50 mg/L - Calothrix [1/8] : -3.893596 (0.0004)*
## Calothrix [1] - Calothrix [1/8] : 1.209374 (0.2041)
## Calothrix [1/16] - Calothrix [1/8] : 0.029496 (0.4883)
## Calothrix [1/2] - Calothrix [1/8] : 0.737423 (0.3255)
## Calothrix [1/4] - Calothrix [1/8] : 0.235975 (0.4502)
## Azithromycin 50 mg/L - Growth Control : -8.672101 (0.0000)*
## Calothrix [1] - Growth Control : -3.569130 (0.0009)*
## Calothrix [1/16] - Growth Control : -4.749007 (0.0001)*
## Calothrix [1/2] - Growth Control : -4.041081 (0.0003)*
## Calothrix [1/4] - Growth Control : -4.542529 (0.0001)*
## Calothrix [1/8] - Growth Control : -4.778504 (0.0001)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 20
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 15.9065, df = 5, p-value = 0.01
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 0.808909
## | 0.4542
## |
## Calothri | -0.026093 -0.835003
## | 0.4897 0.5115
## |
## Calothri | 0.052187 -0.756722 0.078281
## | 0.5992 0.3785 0.7035
## |
## Calothri | 0.026093 -0.782815 0.052187 -0.026093
## | 0.5246 0.4114 0.6536 0.5650
## |
## Growth C | -3.444389 -4.253299 -3.418296 -3.496577 -3.470483
## | 0.0028* 0.0011* 0.0024* 0.0048* 0.0034*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 0.808909 (0.4542)
## Calothrix [1] - Calothrix [1/2] : -0.026093 (0.4897)
## Calothrix [1/16] - Calothrix [1/2] : -0.835003 (0.5115)
## Calothrix [1] - Calothrix [1/4] : 0.052187 (0.5992)
## Calothrix [1/16] - Calothrix [1/4] : -0.756722 (0.3785)
## Calothrix [1/2] - Calothrix [1/4] : 0.078281 (0.7035)
## Calothrix [1] - Calothrix [1/8] : 0.026093 (0.5246)
## Calothrix [1/16] - Calothrix [1/8] : -0.782815 (0.4114)
## Calothrix [1/2] - Calothrix [1/8] : 0.052187 (0.6536)
## Calothrix [1/4] - Calothrix [1/8] : -0.026093 (0.5650)
## Calothrix [1] - Growth Control : -3.444389 (0.0028)*
## Calothrix [1/16] - Growth Control : -4.253299 (0.0011)*
## Calothrix [1/2] - Growth Control : -3.418296 (0.0024)*
## Calothrix [1/4] - Growth Control : -3.496577 (0.0048)*
## Calothrix [1/8] - Growth Control : -3.470483 (0.0034)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 22.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 26.2768, df = 6, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Azithrom Calothri Calothri Calothri Calothri Calothri
## ---------+------------------------------------------------------------------
## Calothri | -4.395456
## | 0.0004*
## |
## Calothri | -3.329103 1.066353
## | 0.0027* 0.2558
## |
## Calothri | -3.667215 0.728241 -0.338112
## | 0.0014* 0.3294 0.4299
## |
## Calothri | -4.213396 0.182060 -0.884293 -0.546181
## | 0.0005* 0.4496 0.3082 0.3858
## |
## Calothri | -4.187387 0.208068 -0.858284 -0.520172 0.026008
## | 0.0004* 0.4621 0.2967 0.3741 0.4897
## |
## Growth C | -6.970310 -2.574853 -3.641206 -3.303094 -2.756913 -2.782922
## | 0.0000* 0.0130* 0.0013* 0.0026* 0.0090* 0.0094*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1] : -4.395456 (0.0004)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -3.329103 (0.0027)*
## Calothrix [1] - Calothrix [1/16] : 1.066353 (0.2558)
## Azithromycin 50 mg/L - Calothrix [1/2] : -3.667215 (0.0014)*
## Calothrix [1] - Calothrix [1/2] : 0.728241 (0.3294)
## Calothrix [1/16] - Calothrix [1/2] : -0.338112 (0.4299)
## Azithromycin 50 mg/L - Calothrix [1/4] : -4.213396 (0.0005)*
## Calothrix [1] - Calothrix [1/4] : 0.182060 (0.4496)
## Calothrix [1/16] - Calothrix [1/4] : -0.884293 (0.3082)
## Calothrix [1/2] - Calothrix [1/4] : -0.546181 (0.3858)
## Azithromycin 50 mg/L - Calothrix [1/8] : -4.187387 (0.0004)*
## Calothrix [1] - Calothrix [1/8] : 0.208068 (0.4621)
## Calothrix [1/16] - Calothrix [1/8] : -0.858284 (0.2967)
## Calothrix [1/2] - Calothrix [1/8] : -0.520172 (0.3741)
## Calothrix [1/4] - Calothrix [1/8] : 0.026008 (0.4897)
## Azithromycin 50 mg/L - Growth Control : -6.970310 (0.0000)*
## Calothrix [1] - Growth Control : -2.574853 (0.0130)*
## Calothrix [1/16] - Growth Control : -3.641206 (0.0013)*
## Calothrix [1/2] - Growth Control : -3.303094 (0.0026)*
## Calothrix [1/4] - Growth Control : -2.756913 (0.0090)*
## Calothrix [1/8] - Growth Control : -2.782922 (0.0094)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 24.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 16.6876, df = 5, p-value = 0.01
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 1.617159
## | 0.1432
## |
## Calothri | 0.410917 -1.206241
## | 0.4661 0.2209
## |
## Calothri | 0.357895 -1.259263 -0.053021
## | 0.4516 0.2315 0.4790
## |
## Calothri | 0.556726 -1.060432 0.145809 0.198831
## | 0.4359 0.2467 0.4740 0.4866
## |
## Growth C | -3.022232 -4.639391 -3.433149 -3.380128 -3.578959
## | 0.0069* 0.0003* 0.0038* 0.0033* 0.0038*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 1.617159 (0.1432)
## Calothrix [1] - Calothrix [1/2] : 0.410917 (0.4661)
## Calothrix [1/16] - Calothrix [1/2] : -1.206241 (0.2209)
## Calothrix [1] - Calothrix [1/4] : 0.357895 (0.4516)
## Calothrix [1/16] - Calothrix [1/4] : -1.259263 (0.2315)
## Calothrix [1/2] - Calothrix [1/4] : -0.053021 (0.4790)
## Calothrix [1] - Calothrix [1/8] : 0.556726 (0.4359)
## Calothrix [1/16] - Calothrix [1/8] : -1.060432 (0.2467)
## Calothrix [1/2] - Calothrix [1/8] : 0.145809 (0.4740)
## Calothrix [1/4] - Calothrix [1/8] : 0.198831 (0.4866)
## Calothrix [1] - Growth Control : -3.022232 (0.0069)*
## Calothrix [1/16] - Growth Control : -4.639391 (0.0003)*
## Calothrix [1/2] - Growth Control : -3.433149 (0.0038)*
## Calothrix [1/4] - Growth Control : -3.380128 (0.0033)*
## Calothrix [1/8] - Growth Control : -3.578959 (0.0038)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 26.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 25.5337, df = 6, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Azithrom Calothri Calothri Calothri Calothri Calothri
## ---------+------------------------------------------------------------------
## Calothri | -3.912952
## | 0.0009*
## |
## Calothri | -3.682778 0.230173
## | 0.0011* 0.6143
## |
## Calothri | -3.938527 -0.025574 -0.255748
## | 0.0011* 0.4899 0.6457
## |
## Calothri | -3.887377 0.025574 -0.204598 0.051149
## | 0.0007* 0.5144 0.5872 0.5302
## |
## Calothri | -4.040826 -0.127874 -0.358047 -0.102299 -0.153449
## | 0.0012* 0.5552 0.6318 0.5361 0.5767
## |
## Growth C | -6.854060 -2.941108 -3.171281 -2.915533 -2.966683 -2.813233
## | 0.0000* 0.0062* 0.0043* 0.0060* 0.0065* 0.0071*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------------
## Azithromycin 50 mg/L - Calothrix [1] : -3.912952 (0.0009)*
## Azithromycin 50 mg/L - Calothrix [1/16] : -3.682778 (0.0011)*
## Calothrix [1] - Calothrix [1/16] : 0.230173 (0.6143)
## Azithromycin 50 mg/L - Calothrix [1/2] : -3.938527 (0.0011)*
## Calothrix [1] - Calothrix [1/2] : -0.025574 (0.4899)
## Calothrix [1/16] - Calothrix [1/2] : -0.255748 (0.6457)
## Azithromycin 50 mg/L - Calothrix [1/4] : -3.887377 (0.0007)*
## Calothrix [1] - Calothrix [1/4] : 0.025574 (0.5144)
## Calothrix [1/16] - Calothrix [1/4] : -0.204598 (0.5872)
## Calothrix [1/2] - Calothrix [1/4] : 0.051149 (0.5302)
## Azithromycin 50 mg/L - Calothrix [1/8] : -4.040826 (0.0012)*
## Calothrix [1] - Calothrix [1/8] : -0.127874 (0.5552)
## Calothrix [1/16] - Calothrix [1/8] : -0.358047 (0.6318)
## Calothrix [1/2] - Calothrix [1/8] : -0.102299 (0.5361)
## Calothrix [1/4] - Calothrix [1/8] : -0.153449 (0.5767)
## Azithromycin 50 mg/L - Growth Control : -6.854060 (0.0000)*
## Calothrix [1] - Growth Control : -2.941108 (0.0062)*
## Calothrix [1/16] - Growth Control : -3.171281 (0.0043)*
## Calothrix [1/2] - Growth Control : -2.915533 (0.0060)*
## Calothrix [1/4] - Growth Control : -2.966683 (0.0065)*
## Calothrix [1/8] - Growth Control : -2.813233 (0.0071)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 28.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 8.5349, df = 5, p-value = 0.13
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 0.229409
## | 0.5124
## |
## Calothri | 0.458818 0.229409
## | 0.4868 0.4730
## |
## Calothri | 0.986458 0.757049 0.527640
## | 0.4131 0.4864 0.5008
## |
## Calothri | 0.367054 0.137645 -0.091763 -0.619404
## | 0.4880 0.4775 0.4637 0.5058
## |
## Growth C | -1.835272 -2.064681 -2.294090 -2.821731 -2.202326
## | 0.1121 0.0867 0.1040 0.0580 0.0853
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 0.229409 (0.5124)
## Calothrix [1] - Calothrix [1/2] : 0.458818 (0.4868)
## Calothrix [1/16] - Calothrix [1/2] : 0.229409 (0.4730)
## Calothrix [1] - Calothrix [1/4] : 0.986458 (0.4131)
## Calothrix [1/16] - Calothrix [1/4] : 0.757049 (0.4864)
## Calothrix [1/2] - Calothrix [1/4] : 0.527640 (0.5008)
## Calothrix [1] - Calothrix [1/8] : 0.367054 (0.4880)
## Calothrix [1/16] - Calothrix [1/8] : 0.137645 (0.4775)
## Calothrix [1/2] - Calothrix [1/8] : -0.091763 (0.4637)
## Calothrix [1/4] - Calothrix [1/8] : -0.619404 (0.5058)
## Calothrix [1] - Growth Control : -1.835272 (0.1121)
## Calothrix [1/16] - Growth Control : -2.064681 (0.0867)
## Calothrix [1/2] - Growth Control : -2.294090 (0.1040)
## Calothrix [1/4] - Growth Control : -2.821731 (0.0580)
## Calothrix [1/8] - Growth Control : -2.202326 (0.0853)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 30.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 6.7864, df = 5, p-value = 0.24
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 1.050310
## | 0.3220
## |
## Calothri | 1.117351 0.067041
## | 0.3391 0.4735
## |
## Calothri | 1.631333 0.581022 0.513981
## | 0.2091 0.3851 0.3815
## |
## Calothri | 0.715104 -0.335205 -0.402246 -0.916228
## | 0.3993 0.3961 0.3980 0.3428
## |
## Growth C | -0.692757 -1.743068 -1.810109 -2.324090 -1.407862
## | 0.3697 0.2246 0.2949 0.1941 0.2516
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 1.050310 (0.3220)
## Calothrix [1] - Calothrix [1/2] : 1.117351 (0.3391)
## Calothrix [1/16] - Calothrix [1/2] : 0.067041 (0.4735)
## Calothrix [1] - Calothrix [1/4] : 1.631333 (0.2091)
## Calothrix [1/16] - Calothrix [1/4] : 0.581022 (0.3851)
## Calothrix [1/2] - Calothrix [1/4] : 0.513981 (0.3815)
## Calothrix [1] - Calothrix [1/8] : 0.715104 (0.3993)
## Calothrix [1/16] - Calothrix [1/8] : -0.335205 (0.3961)
## Calothrix [1/2] - Calothrix [1/8] : -0.402246 (0.3980)
## Calothrix [1/4] - Calothrix [1/8] : -0.916228 (0.3428)
## Calothrix [1] - Growth Control : -0.692757 (0.3697)
## Calothrix [1/16] - Growth Control : -1.743068 (0.2246)
## Calothrix [1/2] - Growth Control : -1.810109 (0.2949)
## Calothrix [1/4] - Growth Control : -2.324090 (0.1941)
## Calothrix [1/8] - Growth Control : -1.407862 (0.2516)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 3
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 0, df = 0, p-value = 1## Error in Psort[1, i]: subscript out of boundsCandida Inhibition
For Candida too, stored in the dataframe Calbi2, we will
perform looped Conover Post-Hoc Tests.
tiempo_levels <- unique(Calbi2$tiempo)
# Initialize a list to store the test results
conover_results <- list()
# Perform Conover test for each level of tiempo
for (level in tiempo_levels) {
# Subset data for the current level of tiempo
data_subset <- Calbi2[Calbi2$tiempo == level, ]
# Print the current level of tiempo
cat("Conover test for tiempo:", level, "\n")
# Perform Conover test
conover_result <- conover.test(data_subset$abs, data_subset$tratamiento, method = "bh", list = TRUE)
# Store the result in the list
conover_results[[as.character(level)]] <- conover_result
}## Conover test for tiempo: 0
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 14.1425, df = 5, p-value = 0.01
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 0.176614
## | 0.4966
## |
## Calothri | -0.201844 -0.378458
## | 0.5257 0.5894
## |
## Calothri | -0.555072 -0.731686 -0.353228
## | 0.5459 0.5864 0.5445
## |
## Calothri | 0.025230 -0.151383 0.227075 0.580303
## | 0.4900 0.4717 0.5602 0.6057
## |
## Growth C | 3.204283 3.027669 3.406128 3.759356 3.179053
## | 0.0071* 0.0068* 0.0061* 0.0045* 0.0057*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 0.176614 (0.4966)
## Calothrix [1] - Calothrix [1/2] : -0.201844 (0.5257)
## Calothrix [1/16] - Calothrix [1/2] : -0.378458 (0.5894)
## Calothrix [1] - Calothrix [1/4] : -0.555072 (0.5459)
## Calothrix [1/16] - Calothrix [1/4] : -0.731686 (0.5864)
## Calothrix [1/2] - Calothrix [1/4] : -0.353228 (0.5445)
## Calothrix [1] - Calothrix [1/8] : 0.025230 (0.4900)
## Calothrix [1/16] - Calothrix [1/8] : -0.151383 (0.4717)
## Calothrix [1/2] - Calothrix [1/8] : 0.227075 (0.5602)
## Calothrix [1/4] - Calothrix [1/8] : 0.580303 (0.6057)
## Calothrix [1] - Growth Control : 3.204283 (0.0071)*
## Calothrix [1/16] - Growth Control : 3.027669 (0.0068)*
## Calothrix [1/2] - Growth Control : 3.406128 (0.0061)*
## Calothrix [1/4] - Growth Control : 3.759356 (0.0045)*
## Calothrix [1/8] - Growth Control : 3.179053 (0.0057)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 1
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 13.3664, df = 5, p-value = 0.02
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 0.982472
## | 0.4155
## |
## Calothri | 0.634254 -0.348218
## | 0.5678 0.4561
## |
## Calothri | 0.447709 -0.534763 -0.186545
## | 0.4928 0.4968 0.4570
## |
## Calothri | 0.360654 -0.621818 -0.273599 -0.087054
## | 0.4912 0.5044 0.4534 0.4656
## |
## Growth C | 3.618981 2.636508 2.984726 3.171272 3.258326
## | 0.0068* 0.0184* 0.0095* 0.0077* 0.0092*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 0.982472 (0.4155)
## Calothrix [1] - Calothrix [1/2] : 0.634254 (0.5678)
## Calothrix [1/16] - Calothrix [1/2] : -0.348218 (0.4561)
## Calothrix [1] - Calothrix [1/4] : 0.447709 (0.4928)
## Calothrix [1/16] - Calothrix [1/4] : -0.534763 (0.4968)
## Calothrix [1/2] - Calothrix [1/4] : -0.186545 (0.4570)
## Calothrix [1] - Calothrix [1/8] : 0.360654 (0.4912)
## Calothrix [1/16] - Calothrix [1/8] : -0.621818 (0.5044)
## Calothrix [1/2] - Calothrix [1/8] : -0.273599 (0.4534)
## Calothrix [1/4] - Calothrix [1/8] : -0.087054 (0.4656)
## Calothrix [1] - Growth Control : 3.618981 (0.0068)*
## Calothrix [1/16] - Growth Control : 2.636508 (0.0184)*
## Calothrix [1/2] - Growth Control : 2.984726 (0.0095)*
## Calothrix [1/4] - Growth Control : 3.171272 (0.0077)*
## Calothrix [1/8] - Growth Control : 3.258326 (0.0092)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 2
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 11.1265, df = 5, p-value = 0.05
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 1.590689
## | 0.1505
## |
## Calothri | 1.112286 -0.478402
## | 0.2563 0.3970
## |
## Calothri | 0.741524 -0.849165 -0.370762
## | 0.3158 0.3345 0.3820
## |
## Calothri | 1.506969 -0.083720 0.394682 0.765444
## | 0.1506 0.4669 0.4012 0.3367
## |
## Growth C | 3.444500 1.853811 2.332214 2.702976 1.937531
## | 0.0110* 0.1080 0.0635 0.0391 0.1135
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 1.590689 (0.1505)
## Calothrix [1] - Calothrix [1/2] : 1.112286 (0.2563)
## Calothrix [1/16] - Calothrix [1/2] : -0.478402 (0.3970)
## Calothrix [1] - Calothrix [1/4] : 0.741524 (0.3158)
## Calothrix [1/16] - Calothrix [1/4] : -0.849165 (0.3345)
## Calothrix [1/2] - Calothrix [1/4] : -0.370762 (0.3820)
## Calothrix [1] - Calothrix [1/8] : 1.506969 (0.1506)
## Calothrix [1/16] - Calothrix [1/8] : -0.083720 (0.4669)
## Calothrix [1/2] - Calothrix [1/8] : 0.394682 (0.4012)
## Calothrix [1/4] - Calothrix [1/8] : 0.765444 (0.3367)
## Calothrix [1] - Growth Control : 3.444500 (0.0110)*
## Calothrix [1/16] - Growth Control : 1.853811 (0.1080)
## Calothrix [1/2] - Growth Control : 2.332214 (0.0635)
## Calothrix [1/4] - Growth Control : 2.702976 (0.0391)
## Calothrix [1/8] - Growth Control : 1.937531 (0.1135)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 3
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 7.9371, df = 5, p-value = 0.16
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 2.125838
## | 0.1517
## |
## Calothri | 0.773032 -1.352806
## | 0.3031 0.2307
## |
## Calothri | 1.034499 -1.091339 0.261466
## | 0.2565 0.2647 0.4260
## |
## Calothri | 1.148180 -0.977658 0.375148 0.113681
## | 0.2769 0.2511 0.4095 0.4551
## |
## Growth C | 2.557827 0.431988 1.784795 1.523328 1.409647
## | 0.1117 0.4177 0.2068 0.2558 0.2508
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 2.125838 (0.1517)
## Calothrix [1] - Calothrix [1/2] : 0.773032 (0.3031)
## Calothrix [1/16] - Calothrix [1/2] : -1.352806 (0.2307)
## Calothrix [1] - Calothrix [1/4] : 1.034499 (0.2565)
## Calothrix [1/16] - Calothrix [1/4] : -1.091339 (0.2647)
## Calothrix [1/2] - Calothrix [1/4] : 0.261466 (0.4260)
## Calothrix [1] - Calothrix [1/8] : 1.148180 (0.2769)
## Calothrix [1/16] - Calothrix [1/8] : -0.977658 (0.2511)
## Calothrix [1/2] - Calothrix [1/8] : 0.375148 (0.4095)
## Calothrix [1/4] - Calothrix [1/8] : 0.113681 (0.4551)
## Calothrix [1] - Growth Control : 2.557827 (0.1117)
## Calothrix [1/16] - Growth Control : 0.431988 (0.4177)
## Calothrix [1/2] - Growth Control : 1.784795 (0.2068)
## Calothrix [1/4] - Growth Control : 1.523328 (0.2558)
## Calothrix [1/8] - Growth Control : 1.409647 (0.2508)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 4
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 10.4957, df = 5, p-value = 0.06
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 2.426134
## | 0.0765
## |
## Calothri | -0.295870 -2.722004
## | 0.3845 0.0745
## |
## Calothri | 0.556235 -1.869898 0.852105
## | 0.3355 0.1045 0.2726
## |
## Calothri | 1.242654 -1.183480 1.538524 0.686418
## | 0.2082 0.2036 0.1421 0.3105
## |
## Growth C | 2.106594 -0.319539 2.402465 1.550359 0.863940
## | 0.0791 0.4024 0.0539 0.1623 0.2950
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 2.426134 (0.0765)
## Calothrix [1] - Calothrix [1/2] : -0.295870 (0.3845)
## Calothrix [1/16] - Calothrix [1/2] : -2.722004 (0.0745)
## Calothrix [1] - Calothrix [1/4] : 0.556235 (0.3355)
## Calothrix [1/16] - Calothrix [1/4] : -1.869898 (0.1045)
## Calothrix [1/2] - Calothrix [1/4] : 0.852105 (0.2726)
## Calothrix [1] - Calothrix [1/8] : 1.242654 (0.2082)
## Calothrix [1/16] - Calothrix [1/8] : -1.183480 (0.2036)
## Calothrix [1/2] - Calothrix [1/8] : 1.538524 (0.1421)
## Calothrix [1/4] - Calothrix [1/8] : 0.686418 (0.3105)
## Calothrix [1] - Growth Control : 2.106594 (0.0791)
## Calothrix [1/16] - Growth Control : -0.319539 (0.4024)
## Calothrix [1/2] - Growth Control : 2.402465 (0.0539)
## Calothrix [1/4] - Growth Control : 1.550359 (0.1623)
## Calothrix [1/8] - Growth Control : 0.863940 (0.2950)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 8.4166, df = 5, p-value = 0.13
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 1.889340
## | 0.1673
## |
## Calothri | -0.458021 -2.347362
## | 0.4061 0.1839
## |
## Calothri | 0.171758 -1.717582 0.629780
## | 0.4323 0.1771 0.3633
## |
## Calothri | 1.614527 -0.274813 2.072549 1.442769
## | 0.1439 0.4206 0.1704 0.1690
## |
## Growth C | 1.248109 -0.641230 1.706131 1.076351 -0.366417
## | 0.2063 0.3941 0.1449 0.2408 0.4132
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 1.889340 (0.1673)
## Calothrix [1] - Calothrix [1/2] : -0.458021 (0.4061)
## Calothrix [1/16] - Calothrix [1/2] : -2.347362 (0.1839)
## Calothrix [1] - Calothrix [1/4] : 0.171758 (0.4323)
## Calothrix [1/16] - Calothrix [1/4] : -1.717582 (0.1771)
## Calothrix [1/2] - Calothrix [1/4] : 0.629780 (0.3633)
## Calothrix [1] - Calothrix [1/8] : 1.614527 (0.1439)
## Calothrix [1/16] - Calothrix [1/8] : -0.274813 (0.4206)
## Calothrix [1/2] - Calothrix [1/8] : 2.072549 (0.1704)
## Calothrix [1/4] - Calothrix [1/8] : 1.442769 (0.1690)
## Calothrix [1] - Growth Control : 1.248109 (0.2063)
## Calothrix [1/16] - Growth Control : -0.641230 (0.3941)
## Calothrix [1/2] - Growth Control : 1.706131 (0.1449)
## Calothrix [1/4] - Growth Control : 1.076351 (0.2408)
## Calothrix [1/8] - Growth Control : -0.366417 (0.4132)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 16
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 17.8002, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -1.967580
## | 0.0609
## |
## Calothri | -2.103275 -0.135695
## | 0.0531 0.4783
## |
## Calothri | -3.202407 -1.234826 -1.099131
## | 0.0071* 0.1533 0.1610
## |
## Calothri | -3.215976 -1.248396 -1.112700 -0.013569
## | 0.0103* 0.1650 0.1708 0.4946
## |
## Growth C | -4.980014 -3.012433 -2.876738 -1.777607 -1.764037
## | 0.0001* 0.0089* 0.0101* 0.0787 0.0718
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -1.967580 (0.0609)
## Calothrix [1] - Calothrix [1/2] : -2.103275 (0.0531)
## Calothrix [1/16] - Calothrix [1/2] : -0.135695 (0.4783)
## Calothrix [1] - Calothrix [1/4] : -3.202407 (0.0071)*
## Calothrix [1/16] - Calothrix [1/4] : -1.234826 (0.1533)
## Calothrix [1/2] - Calothrix [1/4] : -1.099131 (0.1610)
## Calothrix [1] - Calothrix [1/8] : -3.215976 (0.0103)*
## Calothrix [1/16] - Calothrix [1/8] : -1.248396 (0.1650)
## Calothrix [1/2] - Calothrix [1/8] : -1.112700 (0.1708)
## Calothrix [1/4] - Calothrix [1/8] : -0.013569 (0.4946)
## Calothrix [1] - Growth Control : -4.980014 (0.0001)*
## Calothrix [1/16] - Growth Control : -3.012433 (0.0089)*
## Calothrix [1/2] - Growth Control : -2.876738 (0.0101)*
## Calothrix [1/4] - Growth Control : -1.777607 (0.0787)
## Calothrix [1/8] - Growth Control : -1.764037 (0.0718)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 19
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 8.8443, df = 5, p-value = 0.12
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -1.475265
## | 0.1595
## |
## Calothri | -1.498316 -0.023051
## | 0.2142 0.4909
## |
## Calothri | -2.028489 -0.553224 -0.530173
## | 0.1249 0.3647 0.3457
## |
## Calothri | -2.189847 -0.714581 -0.691530 -0.161357
## | 0.1316 0.3596 0.3366 0.4675
## |
## Growth C | -2.973581 -1.498316 -1.475265 -0.945091 -0.783734
## | 0.0392 0.2677 0.1860 0.3290 0.3653
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -1.475265 (0.1595)
## Calothrix [1] - Calothrix [1/2] : -1.498316 (0.2142)
## Calothrix [1/16] - Calothrix [1/2] : -0.023051 (0.4909)
## Calothrix [1] - Calothrix [1/4] : -2.028489 (0.1249)
## Calothrix [1/16] - Calothrix [1/4] : -0.553224 (0.3647)
## Calothrix [1/2] - Calothrix [1/4] : -0.530173 (0.3457)
## Calothrix [1] - Calothrix [1/8] : -2.189847 (0.1316)
## Calothrix [1/16] - Calothrix [1/8] : -0.714581 (0.3596)
## Calothrix [1/2] - Calothrix [1/8] : -0.691530 (0.3366)
## Calothrix [1/4] - Calothrix [1/8] : -0.161357 (0.4675)
## Calothrix [1] - Growth Control : -2.973581 (0.0392)
## Calothrix [1/16] - Growth Control : -1.498316 (0.2677)
## Calothrix [1/2] - Growth Control : -1.475265 (0.1860)
## Calothrix [1/4] - Growth Control : -0.945091 (0.3290)
## Calothrix [1/8] - Growth Control : -0.783734 (0.3653)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 20
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 11.935, df = 5, p-value = 0.04
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -1.018316
## | 0.2365
## |
## Calothri | -1.382001 -0.363684
## | 0.1645 0.3848
## |
## Calothri | -1.915405 -0.897088 -0.533404
## | 0.0951 0.2561 0.3444
## |
## Calothri | -2.182107 -1.163790 -0.800106 -0.266702
## | 0.0670 0.2101 0.2681 0.3956
## |
## Growth C | -3.612600 -2.594283 -2.230598 -1.697194 -1.430492
## | 0.0069* 0.0511 0.0801 0.1229 0.1727
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -1.018316 (0.2365)
## Calothrix [1] - Calothrix [1/2] : -1.382001 (0.1645)
## Calothrix [1/16] - Calothrix [1/2] : -0.363684 (0.3848)
## Calothrix [1] - Calothrix [1/4] : -1.915405 (0.0951)
## Calothrix [1/16] - Calothrix [1/4] : -0.897088 (0.2561)
## Calothrix [1/2] - Calothrix [1/4] : -0.533404 (0.3444)
## Calothrix [1] - Calothrix [1/8] : -2.182107 (0.0670)
## Calothrix [1/16] - Calothrix [1/8] : -1.163790 (0.2101)
## Calothrix [1/2] - Calothrix [1/8] : -0.800106 (0.2681)
## Calothrix [1/4] - Calothrix [1/8] : -0.266702 (0.3956)
## Calothrix [1] - Growth Control : -3.612600 (0.0069)*
## Calothrix [1/16] - Growth Control : -2.594283 (0.0511)
## Calothrix [1/2] - Growth Control : -2.230598 (0.0801)
## Calothrix [1/4] - Growth Control : -1.697194 (0.1229)
## Calothrix [1/8] - Growth Control : -1.430492 (0.1727)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 21
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 13.8342, df = 5, p-value = 0.02
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -1.630258
## | 0.1048
## |
## Calothri | -1.692960 -0.062702
## | 0.1062 0.4752
## |
## Calothri | -2.169498 -0.539239 -0.476537
## | 0.0551 0.3421 0.3410
## |
## Calothri | -3.022248 -1.391990 -1.329287 -0.852750
## | 0.0173* 0.1437 0.1441 0.2496
## |
## Growth C | -3.975323 -2.345064 -2.282362 -1.805825 -0.953074
## | 0.0024* 0.0616 0.0534 0.0991 0.2365
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -1.630258 (0.1048)
## Calothrix [1] - Calothrix [1/2] : -1.692960 (0.1062)
## Calothrix [1/16] - Calothrix [1/2] : -0.062702 (0.4752)
## Calothrix [1] - Calothrix [1/4] : -2.169498 (0.0551)
## Calothrix [1/16] - Calothrix [1/4] : -0.539239 (0.3421)
## Calothrix [1/2] - Calothrix [1/4] : -0.476537 (0.3410)
## Calothrix [1] - Calothrix [1/8] : -3.022248 (0.0173)*
## Calothrix [1/16] - Calothrix [1/8] : -1.391990 (0.1437)
## Calothrix [1/2] - Calothrix [1/8] : -1.329287 (0.1441)
## Calothrix [1/4] - Calothrix [1/8] : -0.852750 (0.2496)
## Calothrix [1] - Growth Control : -3.975323 (0.0024)*
## Calothrix [1/16] - Growth Control : -2.345064 (0.0616)
## Calothrix [1/2] - Growth Control : -2.282362 (0.0534)
## Calothrix [1/4] - Growth Control : -1.805825 (0.0991)
## Calothrix [1/8] - Growth Control : -0.953074 (0.2365)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 22
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 17.8315, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -2.118189
## | 0.0441
## |
## Calothri | -2.091032 0.027156
## | 0.0409 0.4892
## |
## Calothri | -2.308283 -0.190093 -0.217250
## | 0.0335 0.4555 0.4784
## |
## Calothri | -3.937659 -1.819470 -1.846626 -1.629376
## | 0.0014* 0.0579 0.0609 0.0763
## |
## Growth C | -4.779503 -2.661314 -2.688470 -2.471220 -0.841844
## | 0.0002* 0.0217* 0.0270* 0.0275 0.2534
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -2.118189 (0.0441)
## Calothrix [1] - Calothrix [1/2] : -2.091032 (0.0409)
## Calothrix [1/16] - Calothrix [1/2] : 0.027156 (0.4892)
## Calothrix [1] - Calothrix [1/4] : -2.308283 (0.0335)
## Calothrix [1/16] - Calothrix [1/4] : -0.190093 (0.4555)
## Calothrix [1/2] - Calothrix [1/4] : -0.217250 (0.4784)
## Calothrix [1] - Calothrix [1/8] : -3.937659 (0.0014)*
## Calothrix [1/16] - Calothrix [1/8] : -1.819470 (0.0579)
## Calothrix [1/2] - Calothrix [1/8] : -1.846626 (0.0609)
## Calothrix [1/4] - Calothrix [1/8] : -1.629376 (0.0763)
## Calothrix [1] - Growth Control : -4.779503 (0.0002)*
## Calothrix [1/16] - Growth Control : -2.661314 (0.0217)*
## Calothrix [1/2] - Growth Control : -2.688470 (0.0270)*
## Calothrix [1/4] - Growth Control : -2.471220 (0.0275)
## Calothrix [1/8] - Growth Control : -0.841844 (0.2534)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 23
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 12.3906, df = 5, p-value = 0.03
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -1.368524
## | 0.1684
## |
## Calothri | -1.832845 -0.464320
## | 0.0939 0.3722
## |
## Calothri | -1.686217 -0.317693 0.146627
## | 0.1076 0.4032 0.4421
## |
## Calothri | -2.590421 -1.221897 -0.757576 -0.904203
## | 0.0516 0.1914 0.2835 0.2536
## |
## Growth C | -3.739005 -2.370480 -1.906159 -2.052787 -1.148583
## | 0.0048* 0.0581 0.0970 0.0889 0.1937
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -1.368524 (0.1684)
## Calothrix [1] - Calothrix [1/2] : -1.832845 (0.0939)
## Calothrix [1/16] - Calothrix [1/2] : -0.464320 (0.3722)
## Calothrix [1] - Calothrix [1/4] : -1.686217 (0.1076)
## Calothrix [1/16] - Calothrix [1/4] : -0.317693 (0.4032)
## Calothrix [1/2] - Calothrix [1/4] : 0.146627 (0.4421)
## Calothrix [1] - Calothrix [1/8] : -2.590421 (0.0516)
## Calothrix [1/16] - Calothrix [1/8] : -1.221897 (0.1914)
## Calothrix [1/2] - Calothrix [1/8] : -0.757576 (0.2835)
## Calothrix [1/4] - Calothrix [1/8] : -0.904203 (0.2536)
## Calothrix [1] - Growth Control : -3.739005 (0.0048)*
## Calothrix [1/16] - Growth Control : -2.370480 (0.0581)
## Calothrix [1/2] - Growth Control : -1.906159 (0.0970)
## Calothrix [1/4] - Growth Control : -2.052787 (0.0889)
## Calothrix [1/8] - Growth Control : -1.148583 (0.1937)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 25
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 11.4945, df = 5, p-value = 0.04
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -1.082879
## | 0.2145
## |
## Calothri | -1.780735 -0.697855
## | 0.1251 0.2825
## |
## Calothri | -1.564159 -0.481279 0.216575
## | 0.1186 0.3392 0.4149
## |
## Calothri | -2.671103 -1.588223 -0.890367 -1.106943
## | 0.0423 0.1296 0.2585 0.2297
## |
## Growth C | -3.368959 -2.286079 -1.588223 -1.804799 -0.697855
## | 0.0136* 0.0706 0.1512 0.1490 0.3061
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -1.082879 (0.2145)
## Calothrix [1] - Calothrix [1/2] : -1.780735 (0.1251)
## Calothrix [1/16] - Calothrix [1/2] : -0.697855 (0.2825)
## Calothrix [1] - Calothrix [1/4] : -1.564159 (0.1186)
## Calothrix [1/16] - Calothrix [1/4] : -0.481279 (0.3392)
## Calothrix [1/2] - Calothrix [1/4] : 0.216575 (0.4149)
## Calothrix [1] - Calothrix [1/8] : -2.671103 (0.0423)
## Calothrix [1/16] - Calothrix [1/8] : -1.588223 (0.1296)
## Calothrix [1/2] - Calothrix [1/8] : -0.890367 (0.2585)
## Calothrix [1/4] - Calothrix [1/8] : -1.106943 (0.2297)
## Calothrix [1] - Growth Control : -3.368959 (0.0136)*
## Calothrix [1/16] - Growth Control : -2.286079 (0.0706)
## Calothrix [1/2] - Growth Control : -1.588223 (0.1512)
## Calothrix [1/4] - Growth Control : -1.804799 (0.1490)
## Calothrix [1/8] - Growth Control : -0.697855 (0.3061)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 26
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 13.7885, df = 5, p-value = 0.02
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -0.851999
## | 0.2499
## |
## Calothri | -2.117468 -1.265469
## | 0.0618 0.1604
## |
## Calothri | -1.754116 -0.902116 0.363352
## | 0.0824 0.2543 0.3849
## |
## Calothri | -2.205174 -1.353175 -0.087705 -0.451058
## | 0.0636 0.1537 0.4653 0.3777
## |
## Growth C | -3.971819 -3.119820 -1.854351 -2.217703 -1.766645
## | 0.0025* 0.0133* 0.0899 0.0824 0.0919
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -0.851999 (0.2499)
## Calothrix [1] - Calothrix [1/2] : -2.117468 (0.0618)
## Calothrix [1/16] - Calothrix [1/2] : -1.265469 (0.1604)
## Calothrix [1] - Calothrix [1/4] : -1.754116 (0.0824)
## Calothrix [1/16] - Calothrix [1/4] : -0.902116 (0.2543)
## Calothrix [1/2] - Calothrix [1/4] : 0.363352 (0.3849)
## Calothrix [1] - Calothrix [1/8] : -2.205174 (0.0636)
## Calothrix [1/16] - Calothrix [1/8] : -1.353175 (0.1537)
## Calothrix [1/2] - Calothrix [1/8] : -0.087705 (0.4653)
## Calothrix [1/4] - Calothrix [1/8] : -0.451058 (0.3777)
## Calothrix [1] - Growth Control : -3.971819 (0.0025)*
## Calothrix [1/16] - Growth Control : -3.119820 (0.0133)*
## Calothrix [1/2] - Growth Control : -1.854351 (0.0899)
## Calothrix [1/4] - Growth Control : -2.217703 (0.0824)
## Calothrix [1/8] - Growth Control : -1.766645 (0.0919)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 41
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 16.4836, df = 5, p-value = 0.01
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 1.531153
## | 0.1441
## |
## Calothri | -0.607181 -2.138335
## | 0.3422 0.0492
## |
## Calothri | 0.263992 -1.267161 0.871173
## | 0.4250 0.1999 0.2655
## |
## Calothri | 0.395988 -1.135165 1.003169 0.131996
## | 0.4006 0.2198 0.2419 0.4479
## |
## Growth C | -3.088707 -4.619861 -2.481525 -3.352699 -3.484695
## | 0.0072* 0.0004* 0.0268 0.0047* 0.0049*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 1.531153 (0.1441)
## Calothrix [1] - Calothrix [1/2] : -0.607181 (0.3422)
## Calothrix [1/16] - Calothrix [1/2] : -2.138335 (0.0492)
## Calothrix [1] - Calothrix [1/4] : 0.263992 (0.4250)
## Calothrix [1/16] - Calothrix [1/4] : -1.267161 (0.1999)
## Calothrix [1/2] - Calothrix [1/4] : 0.871173 (0.2655)
## Calothrix [1] - Calothrix [1/8] : 0.395988 (0.4006)
## Calothrix [1/16] - Calothrix [1/8] : -1.135165 (0.2198)
## Calothrix [1/2] - Calothrix [1/8] : 1.003169 (0.2419)
## Calothrix [1/4] - Calothrix [1/8] : 0.131996 (0.4479)
## Calothrix [1] - Growth Control : -3.088707 (0.0072)*
## Calothrix [1/16] - Growth Control : -4.619861 (0.0004)*
## Calothrix [1/2] - Growth Control : -2.481525 (0.0268)
## Calothrix [1/4] - Growth Control : -3.352699 (0.0047)*
## Calothrix [1/8] - Growth Control : -3.484695 (0.0049)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2Prebiotic Activity
FOS
For Limosilactobacillus reuteri too, stored in the
dataframe PreBio3_fos, we will perform looped Conover
Post-Hoc Tests.
PreBio3_fos <- droplevels(subset(PreBio3, PreBio3$bacteria != "fos"))
tiempo_levels <- unique(PreBio3_fos$tiempo)
# Initialize a list to store the test results
conover_results <- list()
# Perform Conover test for each level of tiempo
for (level in tiempo_levels) {
# Subset data for the current level of tiempo
data_subset <- PreBio3_fos[PreBio3_fos$tiempo == level, ]
# Print the current level of tiempo
cat("Conover test for tiempo:", level, "\n")
# Perform Conover test
conover_result <- conover.test(data_subset$abs, data_subset$tratamiento, method = "bh", list = TRUE)
# Store the result in the list
conover_results[[as.character(level)]] <- conover_result
}## Conover test for tiempo: 0
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 21.1201, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 3.534068
## | 0.0029*
## |
## Calothri | -1.495746 -5.029815
## | 0.0896 0.0001*
## |
## Calothri | 1.671717 -1.862351 3.167464
## | 0.0704 0.0663 0.0047*
## |
## Calothri | 1.803694 -1.730373 3.299441 0.131977
## | 0.0664 0.0691 0.0041* 0.4479
## |
## Growth C | -1.202463 -4.736532 0.293283 -2.874180 -3.006158
## | 0.1368 0.0001* 0.4130 0.0072* 0.0060*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 3.534068 (0.0029)*
## Calothrix [1] - Calothrix [1/2] : -1.495746 (0.0896)
## Calothrix [1/16] - Calothrix [1/2] : -5.029815 (0.0001)*
## Calothrix [1] - Calothrix [1/4] : 1.671717 (0.0704)
## Calothrix [1/16] - Calothrix [1/4] : -1.862351 (0.0663)
## Calothrix [1/2] - Calothrix [1/4] : 3.167464 (0.0047)*
## Calothrix [1] - Calothrix [1/8] : 1.803694 (0.0664)
## Calothrix [1/16] - Calothrix [1/8] : -1.730373 (0.0691)
## Calothrix [1/2] - Calothrix [1/8] : 3.299441 (0.0041)*
## Calothrix [1/4] - Calothrix [1/8] : 0.131977 (0.4479)
## Calothrix [1] - Growth Control : -1.202463 (0.1368)
## Calothrix [1/16] - Growth Control : -4.736532 (0.0001)*
## Calothrix [1/2] - Growth Control : 0.293283 (0.4130)
## Calothrix [1/4] - Growth Control : -2.874180 (0.0072)*
## Calothrix [1/8] - Growth Control : -3.006158 (0.0060)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 1
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 19.1566, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 3.384109
## | 0.0043*
## |
## Calothri | -1.006842 -4.390952
## | 0.2005 0.0007*
## |
## Calothri | 1.929781 -1.454328 2.936624
## | 0.0513 0.1159 0.0086*
## |
## Calothri | 2.265395 -1.118713 3.272238 0.335614
## | 0.0278 0.1845 0.0044* 0.3696
## |
## Growth C | -0.615292 -3.999402 0.391549 -2.545074 -2.880688
## | 0.3128 0.0011* 0.3738 0.0165* 0.0083*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 3.384109 (0.0043)*
## Calothrix [1] - Calothrix [1/2] : -1.006842 (0.2005)
## Calothrix [1/16] - Calothrix [1/2] : -4.390952 (0.0007)*
## Calothrix [1] - Calothrix [1/4] : 1.929781 (0.0513)
## Calothrix [1/16] - Calothrix [1/4] : -1.454328 (0.1159)
## Calothrix [1/2] - Calothrix [1/4] : 2.936624 (0.0086)*
## Calothrix [1] - Calothrix [1/8] : 2.265395 (0.0278)
## Calothrix [1/16] - Calothrix [1/8] : -1.118713 (0.1845)
## Calothrix [1/2] - Calothrix [1/8] : 3.272238 (0.0044)*
## Calothrix [1/4] - Calothrix [1/8] : 0.335614 (0.3696)
## Calothrix [1] - Growth Control : -0.615292 (0.3128)
## Calothrix [1/16] - Growth Control : -3.999402 (0.0011)*
## Calothrix [1/2] - Growth Control : 0.391549 (0.3738)
## Calothrix [1/4] - Growth Control : -2.545074 (0.0165)*
## Calothrix [1/8] - Growth Control : -2.880688 (0.0083)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 2
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 17.1253, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 3.343951
## | 0.0048*
## |
## Calothri | -0.775796 -4.119748
## | 0.2768 0.0016*
## |
## Calothri | 1.498090 -1.845861 2.273887
## | 0.1071 0.0610 0.0363
## |
## Calothri | 2.033122 -1.310829 2.808919 0.535032
## | 0.0530 0.1351 0.0150* 0.3438
## |
## Growth C | -0.401274 -3.745225 0.374522 -1.899364 -2.434396
## | 0.3700 0.0024* 0.3551 0.0615 0.0300
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 3.343951 (0.0048)*
## Calothrix [1] - Calothrix [1/2] : -0.775796 (0.2768)
## Calothrix [1/16] - Calothrix [1/2] : -4.119748 (0.0016)*
## Calothrix [1] - Calothrix [1/4] : 1.498090 (0.1071)
## Calothrix [1/16] - Calothrix [1/4] : -1.845861 (0.0610)
## Calothrix [1/2] - Calothrix [1/4] : 2.273887 (0.0363)
## Calothrix [1] - Calothrix [1/8] : 2.033122 (0.0530)
## Calothrix [1/16] - Calothrix [1/8] : -1.310829 (0.1351)
## Calothrix [1/2] - Calothrix [1/8] : 2.808919 (0.0150)*
## Calothrix [1/4] - Calothrix [1/8] : 0.535032 (0.3438)
## Calothrix [1] - Growth Control : -0.401274 (0.3700)
## Calothrix [1/16] - Growth Control : -3.745225 (0.0024)*
## Calothrix [1/2] - Growth Control : 0.374522 (0.3551)
## Calothrix [1/4] - Growth Control : -1.899364 (0.0615)
## Calothrix [1/8] - Growth Control : -2.434396 (0.0300)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 3
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 14.2321, df = 5, p-value = 0.01
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 3.057011
## | 0.0105*
## |
## Calothri | -0.429497 -3.486508
## | 0.4188 0.0098*
## |
## Calothri | 1.414815 -1.642196 1.844312
## | 0.1130 0.1024 0.0917
## |
## Calothri | 1.566402 -1.490608 1.995900 0.151587
## | 0.1050 0.1086 0.1004 0.4716
## |
## Growth C | -0.378968 -3.435979 0.050529 -1.793783 -1.945370
## | 0.4078 0.0056* 0.4800 0.0871 0.0894
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 3.057011 (0.0105)*
## Calothrix [1] - Calothrix [1/2] : -0.429497 (0.4188)
## Calothrix [1/16] - Calothrix [1/2] : -3.486508 (0.0098)*
## Calothrix [1] - Calothrix [1/4] : 1.414815 (0.1130)
## Calothrix [1/16] - Calothrix [1/4] : -1.642196 (0.1024)
## Calothrix [1/2] - Calothrix [1/4] : 1.844312 (0.0917)
## Calothrix [1] - Calothrix [1/8] : 1.566402 (0.1050)
## Calothrix [1/16] - Calothrix [1/8] : -1.490608 (0.1086)
## Calothrix [1/2] - Calothrix [1/8] : 1.995900 (0.1004)
## Calothrix [1/4] - Calothrix [1/8] : 0.151587 (0.4716)
## Calothrix [1] - Growth Control : -0.378968 (0.4078)
## Calothrix [1/16] - Growth Control : -3.435979 (0.0056)*
## Calothrix [1/2] - Growth Control : 0.050529 (0.4800)
## Calothrix [1/4] - Growth Control : -1.793783 (0.0871)
## Calothrix [1/8] - Growth Control : -1.945370 (0.0894)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 4
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 7.0295, df = 5, p-value = 0.22
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 2.096994
## | 0.1616
## |
## Calothri | -0.112138 -2.209133
## | 0.4557 0.2521
## |
## Calothri | 1.076532 -1.020462 1.188670
## | 0.3095 0.2947 0.3029
## |
## Calothri | 1.289595 -0.807399 1.401734 0.213063
## | 0.3081 0.3186 0.3179 0.4460
## |
## Growth C | 0.291560 -1.805434 0.403699 -0.784971 -0.998034
## | 0.4456 0.1984 0.4305 0.2984 0.2708
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 2.096994 (0.1616)
## Calothrix [1] - Calothrix [1/2] : -0.112138 (0.4557)
## Calothrix [1/16] - Calothrix [1/2] : -2.209133 (0.2521)
## Calothrix [1] - Calothrix [1/4] : 1.076532 (0.3095)
## Calothrix [1/16] - Calothrix [1/4] : -1.020462 (0.2947)
## Calothrix [1/2] - Calothrix [1/4] : 1.188670 (0.3029)
## Calothrix [1] - Calothrix [1/8] : 1.289595 (0.3081)
## Calothrix [1/16] - Calothrix [1/8] : -0.807399 (0.3186)
## Calothrix [1/2] - Calothrix [1/8] : 1.401734 (0.3179)
## Calothrix [1/4] - Calothrix [1/8] : 0.213063 (0.4460)
## Calothrix [1] - Growth Control : 0.291560 (0.4456)
## Calothrix [1/16] - Growth Control : -1.805434 (0.1984)
## Calothrix [1/2] - Growth Control : 0.403699 (0.4305)
## Calothrix [1/4] - Growth Control : -0.784971 (0.2984)
## Calothrix [1/8] - Growth Control : -0.998034 (0.2708)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 8.8481, df = 5, p-value = 0.12
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 2.409169
## | 0.0796
## |
## Calothri | 0.668573 -1.740596
## | 0.3464 0.1354
## |
## Calothri | 2.051828 -0.357340 1.383255
## | 0.1188 0.3873 0.1876
## |
## Calothri | 2.432223 0.023054 1.763650 0.380395
## | 0.1508 0.4909 0.1618 0.4072
## |
## Growth C | 1.636852 -0.772317 0.968278 -0.414976 -0.795371
## | 0.1380 0.3337 0.3182 0.4254 0.3597
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 2.409169 (0.0796)
## Calothrix [1] - Calothrix [1/2] : 0.668573 (0.3464)
## Calothrix [1/16] - Calothrix [1/2] : -1.740596 (0.1354)
## Calothrix [1] - Calothrix [1/4] : 2.051828 (0.1188)
## Calothrix [1/16] - Calothrix [1/4] : -0.357340 (0.3873)
## Calothrix [1/2] - Calothrix [1/4] : 1.383255 (0.1876)
## Calothrix [1] - Calothrix [1/8] : 2.432223 (0.1508)
## Calothrix [1/16] - Calothrix [1/8] : 0.023054 (0.4909)
## Calothrix [1/2] - Calothrix [1/8] : 1.763650 (0.1618)
## Calothrix [1/4] - Calothrix [1/8] : 0.380395 (0.4072)
## Calothrix [1] - Growth Control : 1.636852 (0.1380)
## Calothrix [1/16] - Growth Control : -0.772317 (0.3337)
## Calothrix [1/2] - Growth Control : 0.968278 (0.3182)
## Calothrix [1/4] - Growth Control : -0.414976 (0.4254)
## Calothrix [1/8] - Growth Control : -0.795371 (0.3597)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 17
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 19.5213, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 1.128216
## | 0.2222
## |
## Calothri | 1.283345 0.155129
## | 0.1946 0.4388
## |
## Calothri | 0.507697 -0.620518 -0.775648
## | 0.3547 0.3368 0.3021
## |
## Calothri | -0.380772 -1.508989 -1.664118 -0.888470
## | 0.3780 0.1500 0.1310 0.2851
## |
## Growth C | 4.653892 3.525675 3.370546 4.146194 5.034665
## | 0.0002* 0.0022* 0.0027* 0.0005* 0.0001*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 1.128216 (0.2222)
## Calothrix [1] - Calothrix [1/2] : 1.283345 (0.1946)
## Calothrix [1/16] - Calothrix [1/2] : 0.155129 (0.4388)
## Calothrix [1] - Calothrix [1/4] : 0.507697 (0.3547)
## Calothrix [1/16] - Calothrix [1/4] : -0.620518 (0.3368)
## Calothrix [1/2] - Calothrix [1/4] : -0.775648 (0.3021)
## Calothrix [1] - Calothrix [1/8] : -0.380772 (0.3780)
## Calothrix [1/16] - Calothrix [1/8] : -1.508989 (0.1500)
## Calothrix [1/2] - Calothrix [1/8] : -1.664118 (0.1310)
## Calothrix [1/4] - Calothrix [1/8] : -0.888470 (0.2851)
## Calothrix [1] - Growth Control : 4.653892 (0.0002)*
## Calothrix [1/16] - Growth Control : 3.525675 (0.0022)*
## Calothrix [1/2] - Growth Control : 3.370546 (0.0027)*
## Calothrix [1/4] - Growth Control : 4.146194 (0.0005)*
## Calothrix [1/8] - Growth Control : 5.034665 (0.0001)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 18.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 20.0356, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 0.913540
## | 0.2503
## |
## Calothri | 1.084829 0.171288
## | 0.2139 0.4325
## |
## Calothri | -0.171288 -1.084829 -1.256117
## | 0.4634 0.2377 0.2036
## |
## Calothri | -0.827895 -1.741436 -1.912724 -0.656607
## | 0.2582 0.0966 0.0797 0.2975
## |
## Growth C | 4.396412 3.482872 3.311583 4.567701 5.224308
## | 0.0002* 0.0025* 0.0032* 0.0002* 0.0001*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 0.913540 (0.2503)
## Calothrix [1] - Calothrix [1/2] : 1.084829 (0.2139)
## Calothrix [1/16] - Calothrix [1/2] : 0.171288 (0.4325)
## Calothrix [1] - Calothrix [1/4] : -0.171288 (0.4634)
## Calothrix [1/16] - Calothrix [1/4] : -1.084829 (0.2377)
## Calothrix [1/2] - Calothrix [1/4] : -1.256117 (0.2036)
## Calothrix [1] - Calothrix [1/8] : -0.827895 (0.2582)
## Calothrix [1/16] - Calothrix [1/8] : -1.741436 (0.0966)
## Calothrix [1/2] - Calothrix [1/8] : -1.912724 (0.0797)
## Calothrix [1/4] - Calothrix [1/8] : -0.656607 (0.2975)
## Calothrix [1] - Growth Control : 4.396412 (0.0002)*
## Calothrix [1/16] - Growth Control : 3.482872 (0.0025)*
## Calothrix [1/2] - Growth Control : 3.311583 (0.0032)*
## Calothrix [1/4] - Growth Control : 4.567701 (0.0002)*
## Calothrix [1/8] - Growth Control : 5.224308 (0.0001)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 20
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 18.5985, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 0.745665
## | 0.3455
## |
## Calothri | 1.159924 0.414258
## | 0.2718 0.4257
## |
## Calothri | 0.359024 -0.386641 -0.800899
## | 0.3866 0.4046 0.3570
## |
## Calothri | -0.193320 -0.938986 -1.353244 -0.552344
## | 0.4239 0.3319 0.2305 0.3983
## |
## Growth C | 4.473992 3.728327 3.314068 4.114968 4.667313
## | 0.0003* 0.0012* 0.0032* 0.0005* 0.0003*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 0.745665 (0.3455)
## Calothrix [1] - Calothrix [1/2] : 1.159924 (0.2718)
## Calothrix [1/16] - Calothrix [1/2] : 0.414258 (0.4257)
## Calothrix [1] - Calothrix [1/4] : 0.359024 (0.3866)
## Calothrix [1/16] - Calothrix [1/4] : -0.386641 (0.4046)
## Calothrix [1/2] - Calothrix [1/4] : -0.800899 (0.3570)
## Calothrix [1] - Calothrix [1/8] : -0.193320 (0.4239)
## Calothrix [1/16] - Calothrix [1/8] : -0.938986 (0.3319)
## Calothrix [1/2] - Calothrix [1/8] : -1.353244 (0.2305)
## Calothrix [1/4] - Calothrix [1/8] : -0.552344 (0.3983)
## Calothrix [1] - Growth Control : 4.473992 (0.0003)*
## Calothrix [1/16] - Growth Control : 3.728327 (0.0012)*
## Calothrix [1/2] - Growth Control : 3.314068 (0.0032)*
## Calothrix [1/4] - Growth Control : 4.114968 (0.0005)*
## Calothrix [1/8] - Growth Control : 4.667313 (0.0003)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 21.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 21.3284, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 1.561979
## | 0.1191
## |
## Calothri | 2.328233 0.766254
## | 0.0320 0.2588
## |
## Calothri | 1.149381 -0.412598 -1.178852
## | 0.1759 0.3655 0.1846
## |
## Calothri | 0.117885 -1.444094 -2.210348 -1.031495
## | 0.4534 0.1311 0.0359 0.1932
## |
## Growth C | 5.363778 3.801799 3.035545 4.214397 5.245893
## | 0.0000* 0.0010* 0.0067* 0.0004* 0.0000*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 1.561979 (0.1191)
## Calothrix [1] - Calothrix [1/2] : 2.328233 (0.0320)
## Calothrix [1/16] - Calothrix [1/2] : 0.766254 (0.2588)
## Calothrix [1] - Calothrix [1/4] : 1.149381 (0.1759)
## Calothrix [1/16] - Calothrix [1/4] : -0.412598 (0.3655)
## Calothrix [1/2] - Calothrix [1/4] : -1.178852 (0.1846)
## Calothrix [1] - Calothrix [1/8] : 0.117885 (0.4534)
## Calothrix [1/16] - Calothrix [1/8] : -1.444094 (0.1311)
## Calothrix [1/2] - Calothrix [1/8] : -2.210348 (0.0359)
## Calothrix [1/4] - Calothrix [1/8] : -1.031495 (0.1932)
## Calothrix [1] - Growth Control : 5.363778 (0.0000)*
## Calothrix [1/16] - Growth Control : 3.801799 (0.0010)*
## Calothrix [1/2] - Growth Control : 3.035545 (0.0067)*
## Calothrix [1/4] - Growth Control : 4.214397 (0.0004)*
## Calothrix [1/8] - Growth Control : 5.245893 (0.0000)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 23
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 20.2672, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 1.492771
## | 0.1352
## |
## Calothri | 1.923378 0.430607
## | 0.0780 0.3861
## |
## Calothri | 0.459314 -1.033457 -1.464064
## | 0.4055 0.2102 0.1265
## |
## Calothri | 0.287071 -1.205700 -1.636307 -0.172242
## | 0.4156 0.1768 0.1184 0.4321
## |
## Growth C | 5.052458 3.559686 3.129079 4.593143 4.765386
## | 0.0001* 0.0020* 0.0052* 0.0001* 0.0001*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 1.492771 (0.1352)
## Calothrix [1] - Calothrix [1/2] : 1.923378 (0.0780)
## Calothrix [1/16] - Calothrix [1/2] : 0.430607 (0.3861)
## Calothrix [1] - Calothrix [1/4] : 0.459314 (0.4055)
## Calothrix [1/16] - Calothrix [1/4] : -1.033457 (0.2102)
## Calothrix [1/2] - Calothrix [1/4] : -1.464064 (0.1265)
## Calothrix [1] - Calothrix [1/8] : 0.287071 (0.4156)
## Calothrix [1/16] - Calothrix [1/8] : -1.205700 (0.1768)
## Calothrix [1/2] - Calothrix [1/8] : -1.636307 (0.1184)
## Calothrix [1/4] - Calothrix [1/8] : -0.172242 (0.4321)
## Calothrix [1] - Growth Control : 5.052458 (0.0001)*
## Calothrix [1/16] - Growth Control : 3.559686 (0.0020)*
## Calothrix [1/2] - Growth Control : 3.129079 (0.0052)*
## Calothrix [1/4] - Growth Control : 4.593143 (0.0001)*
## Calothrix [1/8] - Growth Control : 4.765386 (0.0001)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 24.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 20.4533, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 0.173020
## | 0.4626
## |
## Calothri | 1.730209 1.557188
## | 0.0864 0.1068
## |
## Calothri | -0.057673 -0.230694 -1.787883
## | 0.4772 0.4724 0.0881
## |
## Calothri | -0.663246 -0.836267 -2.393456 -0.605573
## | 0.3487 0.3064 0.0275 0.3429
## |
## Growth C | 4.440870 4.267849 2.710661 4.498544 5.104117
## | 0.0002* 0.0003* 0.0153* 0.0003* 0.0001*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 0.173020 (0.4626)
## Calothrix [1] - Calothrix [1/2] : 1.730209 (0.0864)
## Calothrix [1/16] - Calothrix [1/2] : 1.557188 (0.1068)
## Calothrix [1] - Calothrix [1/4] : -0.057673 (0.4772)
## Calothrix [1/16] - Calothrix [1/4] : -0.230694 (0.4724)
## Calothrix [1/2] - Calothrix [1/4] : -1.787883 (0.0881)
## Calothrix [1] - Calothrix [1/8] : -0.663246 (0.3487)
## Calothrix [1/16] - Calothrix [1/8] : -0.836267 (0.3064)
## Calothrix [1/2] - Calothrix [1/8] : -2.393456 (0.0275)
## Calothrix [1/4] - Calothrix [1/8] : -0.605573 (0.3429)
## Calothrix [1] - Growth Control : 4.440870 (0.0002)*
## Calothrix [1/16] - Growth Control : 4.267849 (0.0003)*
## Calothrix [1/2] - Growth Control : 2.710661 (0.0153)*
## Calothrix [1/4] - Growth Control : 4.498544 (0.0003)*
## Calothrix [1/8] - Growth Control : 5.104117 (0.0001)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 26
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 19.0161, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 0.111513
## | 0.5261
## |
## Calothri | 1.087255 0.975742
## | 0.2368 0.2098
## |
## Calothri | 0.055756 -0.055756 -1.031498
## | 0.4779 0.5121 0.2108
## |
## Calothri | -1.031498 -1.143012 -2.118754 -1.087255
## | 0.2319 0.2792 0.0513 0.2664
## |
## Growth C | 4.042359 3.930846 2.955104 3.986603 5.073858
## | 0.0010* 0.0007* 0.0082* 0.0008* 0.0001*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 0.111513 (0.5261)
## Calothrix [1] - Calothrix [1/2] : 1.087255 (0.2368)
## Calothrix [1/16] - Calothrix [1/2] : 0.975742 (0.2098)
## Calothrix [1] - Calothrix [1/4] : 0.055756 (0.4779)
## Calothrix [1/16] - Calothrix [1/4] : -0.055756 (0.5121)
## Calothrix [1/2] - Calothrix [1/4] : -1.031498 (0.2108)
## Calothrix [1] - Calothrix [1/8] : -1.031498 (0.2319)
## Calothrix [1/16] - Calothrix [1/8] : -1.143012 (0.2792)
## Calothrix [1/2] - Calothrix [1/8] : -2.118754 (0.0513)
## Calothrix [1/4] - Calothrix [1/8] : -1.087255 (0.2664)
## Calothrix [1] - Growth Control : 4.042359 (0.0010)*
## Calothrix [1/16] - Growth Control : 3.930846 (0.0007)*
## Calothrix [1/2] - Growth Control : 2.955104 (0.0082)*
## Calothrix [1/4] - Growth Control : 3.986603 (0.0008)*
## Calothrix [1/8] - Growth Control : 5.073858 (0.0001)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 27.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 20.6944, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -1.334345
## | 0.1299
## |
## Calothri | 0.551142 1.885488
## | 0.3375 0.0562
## |
## Calothri | -1.711443 -0.377097 -2.262586
## | 0.0717 0.3795 0.0319
## |
## Calothri | -2.059533 -0.725187 -2.610676 -0.348090
## | 0.0438 0.2956 0.0196* 0.3649
## |
## Growth C | 3.074796 4.409142 2.523653 4.786240 5.134330
## | 0.0075* 0.0002* 0.0202* 0.0001* 0.0001*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -1.334345 (0.1299)
## Calothrix [1] - Calothrix [1/2] : 0.551142 (0.3375)
## Calothrix [1/16] - Calothrix [1/2] : 1.885488 (0.0562)
## Calothrix [1] - Calothrix [1/4] : -1.711443 (0.0717)
## Calothrix [1/16] - Calothrix [1/4] : -0.377097 (0.3795)
## Calothrix [1/2] - Calothrix [1/4] : -2.262586 (0.0319)
## Calothrix [1] - Calothrix [1/8] : -2.059533 (0.0438)
## Calothrix [1/16] - Calothrix [1/8] : -0.725187 (0.2956)
## Calothrix [1/2] - Calothrix [1/8] : -2.610676 (0.0196)*
## Calothrix [1/4] - Calothrix [1/8] : -0.348090 (0.3649)
## Calothrix [1] - Growth Control : 3.074796 (0.0075)*
## Calothrix [1/16] - Growth Control : 4.409142 (0.0002)*
## Calothrix [1/2] - Growth Control : 2.523653 (0.0202)*
## Calothrix [1/4] - Growth Control : 4.786240 (0.0001)*
## Calothrix [1/8] - Growth Control : 5.134330 (0.0001)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 43.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 10.5074, df = 5, p-value = 0.06
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -1.443947
## | 0.1476
## |
## Calothri | -0.023671 1.420275
## | 0.4906 0.1368
## |
## Calothri | -1.562303 -0.118356 -1.538632
## | 0.1587 0.4856 0.1421
## |
## Calothri | -1.822687 -0.378740 -1.799016 -0.260383
## | 0.1437 0.4419 0.1206 0.4593
## |
## Growth C | 0.946850 2.390797 0.970521 2.509153 2.769537
## | 0.2387 0.0554 0.2537 0.0628 0.0661
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -1.443947 (0.1476)
## Calothrix [1] - Calothrix [1/2] : -0.023671 (0.4906)
## Calothrix [1/16] - Calothrix [1/2] : 1.420275 (0.1368)
## Calothrix [1] - Calothrix [1/4] : -1.562303 (0.1587)
## Calothrix [1/16] - Calothrix [1/4] : -0.118356 (0.4856)
## Calothrix [1/2] - Calothrix [1/4] : -1.538632 (0.1421)
## Calothrix [1] - Calothrix [1/8] : -1.822687 (0.1437)
## Calothrix [1/16] - Calothrix [1/8] : -0.378740 (0.4419)
## Calothrix [1/2] - Calothrix [1/8] : -1.799016 (0.1206)
## Calothrix [1/4] - Calothrix [1/8] : -0.260383 (0.4593)
## Calothrix [1] - Growth Control : 0.946850 (0.2387)
## Calothrix [1/16] - Growth Control : 2.390797 (0.0554)
## Calothrix [1/2] - Growth Control : 0.970521 (0.2537)
## Calothrix [1/4] - Growth Control : 2.509153 (0.0628)
## Calothrix [1/8] - Growth Control : 2.769537 (0.0661)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2LP
For Lactiplantibacillus \nplantarum too, stored in the
dataframe PreBio3_lp, we will perform looped Conover
Post-Hoc Tests.
PreBio3_lp <- droplevels(subset(PreBio3, PreBio3$bacteria != "lp"))
tiempo_levels <- unique(PreBio3_lp$tiempo)
# Initialize a list to store the test results
conover_results <- list()
# Perform Conover test for each level of tiempo
for (level in tiempo_levels) {
# Subset data for the current level of tiempo
data_subset <- PreBio3_lp[PreBio3_lp$tiempo == level, ]
# Print the current level of tiempo
cat("Conover test for tiempo:", level, "\n")
# Perform Conover test
conover_result <- conover.test(data_subset$abs, data_subset$tratamiento, method = "bh", list = TRUE)
# Store the result in the list
conover_results[[as.character(level)]] <- conover_result
}## Conover test for tiempo: 0
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 7.5775, df = 5, p-value = 0.18
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -2.272577
## | 0.1092
## |
## Calothri | -0.192208 2.080369
## | 0.4896 0.1117
## |
## Calothri | 0.180901 2.453478 0.373109
## | 0.4594 0.1434 0.4849
## |
## Calothri | -0.791444 1.481132 -0.599236 -0.972346
## | 0.4649 0.2209 0.5182 0.4217
## |
## Growth C | -0.248739 2.023837 -0.056531 -0.429641 0.542705
## | 0.5031 0.0946 0.4776 0.5025 0.4922
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -2.272577 (0.1092)
## Calothrix [1] - Calothrix [1/2] : -0.192208 (0.4896)
## Calothrix [1/16] - Calothrix [1/2] : 2.080369 (0.1117)
## Calothrix [1] - Calothrix [1/4] : 0.180901 (0.4594)
## Calothrix [1/16] - Calothrix [1/4] : 2.453478 (0.1434)
## Calothrix [1/2] - Calothrix [1/4] : 0.373109 (0.4849)
## Calothrix [1] - Calothrix [1/8] : -0.791444 (0.4649)
## Calothrix [1/16] - Calothrix [1/8] : 1.481132 (0.2209)
## Calothrix [1/2] - Calothrix [1/8] : -0.599236 (0.5182)
## Calothrix [1/4] - Calothrix [1/8] : -0.972346 (0.4217)
## Calothrix [1] - Growth Control : -0.248739 (0.5031)
## Calothrix [1/16] - Growth Control : 2.023837 (0.0946)
## Calothrix [1/2] - Growth Control : -0.056531 (0.4776)
## Calothrix [1/4] - Growth Control : -0.429641 (0.5025)
## Calothrix [1/8] - Growth Control : 0.542705 (0.4922)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 1
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 8.9383, df = 5, p-value = 0.11
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -2.516445
## | 0.0617
## |
## Calothri | -0.542536 1.973909
## | 0.4028 0.1052
## |
## Calothri | -0.219323 2.297122 0.323213
## | 0.4434 0.0688 0.4318
## |
## Calothri | -1.223592 1.292852 -0.681056 -1.004269
## | 0.2454 0.2554 0.3751 0.3018
## |
## Growth C | 0.138519 2.654965 0.681056 0.357843 1.362112
## | 0.4453 0.0880 0.4168 0.4516 0.2724
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -2.516445 (0.0617)
## Calothrix [1] - Calothrix [1/2] : -0.542536 (0.4028)
## Calothrix [1/16] - Calothrix [1/2] : 1.973909 (0.1052)
## Calothrix [1] - Calothrix [1/4] : -0.219323 (0.4434)
## Calothrix [1/16] - Calothrix [1/4] : 2.297122 (0.0688)
## Calothrix [1/2] - Calothrix [1/4] : 0.323213 (0.4318)
## Calothrix [1] - Calothrix [1/8] : -1.223592 (0.2454)
## Calothrix [1/16] - Calothrix [1/8] : 1.292852 (0.2554)
## Calothrix [1/2] - Calothrix [1/8] : -0.681056 (0.3751)
## Calothrix [1/4] - Calothrix [1/8] : -1.004269 (0.3018)
## Calothrix [1] - Growth Control : 0.138519 (0.4453)
## Calothrix [1/16] - Growth Control : 2.654965 (0.0880)
## Calothrix [1/2] - Growth Control : 0.681056 (0.4168)
## Calothrix [1/4] - Growth Control : 0.357843 (0.4516)
## Calothrix [1/8] - Growth Control : 1.362112 (0.2724)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 2
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 11.7703, df = 5, p-value = 0.04
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -2.937653
## | 0.0215*
## |
## Calothri | -0.568188 2.369465
## | 0.3584 0.0437
## |
## Calothri | -0.314316 2.623337 0.253871
## | 0.4356 0.0317 0.4005
## |
## Calothri | -1.595762 1.341891 -1.027574 -1.281445
## | 0.1491 0.2015 0.2592 0.1952
## |
## Growth C | 0.265960 3.203614 0.834148 0.580277 1.861723
## | 0.4242 0.0213* 0.3073 0.3855 0.1062
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -2.937653 (0.0215)*
## Calothrix [1] - Calothrix [1/2] : -0.568188 (0.3584)
## Calothrix [1/16] - Calothrix [1/2] : 2.369465 (0.0437)
## Calothrix [1] - Calothrix [1/4] : -0.314316 (0.4356)
## Calothrix [1/16] - Calothrix [1/4] : 2.623337 (0.0317)
## Calothrix [1/2] - Calothrix [1/4] : 0.253871 (0.4005)
## Calothrix [1] - Calothrix [1/8] : -1.595762 (0.1491)
## Calothrix [1/16] - Calothrix [1/8] : 1.341891 (0.2015)
## Calothrix [1/2] - Calothrix [1/8] : -1.027574 (0.2592)
## Calothrix [1/4] - Calothrix [1/8] : -1.281445 (0.1952)
## Calothrix [1] - Growth Control : 0.265960 (0.4242)
## Calothrix [1/16] - Growth Control : 3.203614 (0.0213)*
## Calothrix [1/2] - Growth Control : 0.834148 (0.3073)
## Calothrix [1/4] - Growth Control : 0.580277 (0.3855)
## Calothrix [1/8] - Growth Control : 1.861723 (0.1062)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 3
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 8.2109, df = 5, p-value = 0.14
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -1.986054
## | 0.1025
## |
## Calothri | 0.182625 2.168680
## | 0.4586 0.0920
## |
## Calothri | 0.410907 2.396962 0.228282
## | 0.4661 0.0819 0.4735
## |
## Calothri | -0.616361 1.369692 -0.798987 -1.027269
## | 0.4513 0.2689 0.4027 0.3334
## |
## Growth C | 0.570705 2.556760 0.388079 0.159797 1.187067
## | 0.4288 0.1119 0.4377 0.4370 0.3037
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -1.986054 (0.1025)
## Calothrix [1] - Calothrix [1/2] : 0.182625 (0.4586)
## Calothrix [1/16] - Calothrix [1/2] : 2.168680 (0.0920)
## Calothrix [1] - Calothrix [1/4] : 0.410907 (0.4661)
## Calothrix [1/16] - Calothrix [1/4] : 2.396962 (0.0819)
## Calothrix [1/2] - Calothrix [1/4] : 0.228282 (0.4735)
## Calothrix [1] - Calothrix [1/8] : -0.616361 (0.4513)
## Calothrix [1/16] - Calothrix [1/8] : 1.369692 (0.2689)
## Calothrix [1/2] - Calothrix [1/8] : -0.798987 (0.4027)
## Calothrix [1/4] - Calothrix [1/8] : -1.027269 (0.3334)
## Calothrix [1] - Growth Control : 0.570705 (0.4288)
## Calothrix [1/16] - Growth Control : 2.556760 (0.1119)
## Calothrix [1/2] - Growth Control : 0.388079 (0.4377)
## Calothrix [1/4] - Growth Control : 0.159797 (0.4370)
## Calothrix [1/8] - Growth Control : 1.187067 (0.3037)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 4
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 12.7351, df = 5, p-value = 0.03
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -2.540656
## | 0.0294
## |
## Calothri | 0.037920 2.578576
## | 0.4850 0.0357
## |
## Calothri | 0.353922 2.894578 0.316002
## | 0.4947 0.0244* 0.4712
## |
## Calothri | -0.226691 2.214291 -0.263124 -0.566729
## | 0.4403 0.0501 0.4581 0.4309
## |
## Growth C | 1.314568 3.855224 1.276648 0.960646 1.489688
## | 0.2113 0.0036* 0.1970 0.2861 0.1816
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -2.540656 (0.0294)
## Calothrix [1] - Calothrix [1/2] : 0.037920 (0.4850)
## Calothrix [1/16] - Calothrix [1/2] : 2.578576 (0.0357)
## Calothrix [1] - Calothrix [1/4] : 0.353922 (0.4947)
## Calothrix [1/16] - Calothrix [1/4] : 2.894578 (0.0244)*
## Calothrix [1/2] - Calothrix [1/4] : 0.316002 (0.4712)
## Calothrix [1] - Calothrix [1/8] : -0.226691 (0.4403)
## Calothrix [1/16] - Calothrix [1/8] : 2.214291 (0.0501)
## Calothrix [1/2] - Calothrix [1/8] : -0.263124 (0.4581)
## Calothrix [1/4] - Calothrix [1/8] : -0.566729 (0.4309)
## Calothrix [1] - Growth Control : 1.314568 (0.2113)
## Calothrix [1/16] - Growth Control : 3.855224 (0.0036)*
## Calothrix [1/2] - Growth Control : 1.276648 (0.1970)
## Calothrix [1/4] - Growth Control : 0.960646 (0.2861)
## Calothrix [1/8] - Growth Control : 1.489688 (0.1816)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 13.1253, df = 5, p-value = 0.02
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -2.178695
## | 0.0900
## |
## Calothri | -0.049515 2.129179
## | 0.5147 0.0753
## |
## Calothri | 0.742737 2.921432 0.792252
## | 0.2890 0.0224* 0.2955
## |
## Calothri | -0.074273 2.104421 -0.024757 -0.817010
## | 0.5430 0.0636 0.4902 0.3145
## |
## Growth C | 1.782569 3.961264 1.832084 1.039831 1.856842
## | 0.0779 0.0025* 0.0806 0.2545 0.0894
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -2.178695 (0.0900)
## Calothrix [1] - Calothrix [1/2] : -0.049515 (0.5147)
## Calothrix [1/16] - Calothrix [1/2] : 2.129179 (0.0753)
## Calothrix [1] - Calothrix [1/4] : 0.742737 (0.2890)
## Calothrix [1/16] - Calothrix [1/4] : 2.921432 (0.0224)*
## Calothrix [1/2] - Calothrix [1/4] : 0.792252 (0.2955)
## Calothrix [1] - Calothrix [1/8] : -0.074273 (0.5430)
## Calothrix [1/16] - Calothrix [1/8] : 2.104421 (0.0636)
## Calothrix [1/2] - Calothrix [1/8] : -0.024757 (0.4902)
## Calothrix [1/4] - Calothrix [1/8] : -0.817010 (0.3145)
## Calothrix [1] - Growth Control : 1.782569 (0.0779)
## Calothrix [1/16] - Growth Control : 3.961264 (0.0025)*
## Calothrix [1/2] - Growth Control : 1.832084 (0.0806)
## Calothrix [1/4] - Growth Control : 1.039831 (0.2545)
## Calothrix [1/8] - Growth Control : 1.856842 (0.0894)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 17
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 13.2981, df = 5, p-value = 0.02
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -0.347689
## | 0.5476
## |
## Calothri | -0.099339 0.248349
## | 0.5316 0.5033
## |
## Calothri | 0.521534 0.869224 0.620874
## | 0.5043 0.4881 0.5771
## |
## Calothri | -0.024834 0.322854 0.074504 -0.546369
## | 0.4902 0.5105 0.5041 0.5514
## |
## Growth C | 3.154042 3.501732 3.253382 2.632508 3.178877
## | 0.0061* 0.0094* 0.0093* 0.0186* 0.0076*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -0.347689 (0.5476)
## Calothrix [1] - Calothrix [1/2] : -0.099339 (0.5316)
## Calothrix [1/16] - Calothrix [1/2] : 0.248349 (0.5033)
## Calothrix [1] - Calothrix [1/4] : 0.521534 (0.5043)
## Calothrix [1/16] - Calothrix [1/4] : 0.869224 (0.4881)
## Calothrix [1/2] - Calothrix [1/4] : 0.620874 (0.5771)
## Calothrix [1] - Calothrix [1/8] : -0.024834 (0.4902)
## Calothrix [1/16] - Calothrix [1/8] : 0.322854 (0.5105)
## Calothrix [1/2] - Calothrix [1/8] : 0.074504 (0.5041)
## Calothrix [1/4] - Calothrix [1/8] : -0.546369 (0.5514)
## Calothrix [1] - Growth Control : 3.154042 (0.0061)*
## Calothrix [1/16] - Growth Control : 3.501732 (0.0094)*
## Calothrix [1/2] - Growth Control : 3.253382 (0.0093)*
## Calothrix [1/4] - Growth Control : 2.632508 (0.0186)*
## Calothrix [1/8] - Growth Control : 3.178877 (0.0076)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 18.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 14.0954, df = 5, p-value = 0.02
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -1.234814
## | 0.2410
## |
## Calothri | -0.378004 0.856810
## | 0.4083 0.2979
## |
## Calothri | 0.100801 1.335615 0.478805
## | 0.4601 0.2376 0.3969
## |
## Calothri | -1.008011 0.226802 -0.630007 -1.108813
## | 0.2668 0.4403 0.3632 0.2577
## |
## Growth C | 2.595630 3.830445 2.973635 2.494829 3.603642
## | 0.0255 0.0037* 0.0131* 0.0260 0.0035*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -1.234814 (0.2410)
## Calothrix [1] - Calothrix [1/2] : -0.378004 (0.4083)
## Calothrix [1/16] - Calothrix [1/2] : 0.856810 (0.2979)
## Calothrix [1] - Calothrix [1/4] : 0.100801 (0.4601)
## Calothrix [1/16] - Calothrix [1/4] : 1.335615 (0.2376)
## Calothrix [1/2] - Calothrix [1/4] : 0.478805 (0.3969)
## Calothrix [1] - Calothrix [1/8] : -1.008011 (0.2668)
## Calothrix [1/16] - Calothrix [1/8] : 0.226802 (0.4403)
## Calothrix [1/2] - Calothrix [1/8] : -0.630007 (0.3632)
## Calothrix [1/4] - Calothrix [1/8] : -1.108813 (0.2577)
## Calothrix [1] - Growth Control : 2.595630 (0.0255)
## Calothrix [1/16] - Growth Control : 3.830445 (0.0037)*
## Calothrix [1/2] - Growth Control : 2.973635 (0.0131)*
## Calothrix [1/4] - Growth Control : 2.494829 (0.0260)
## Calothrix [1/8] - Growth Control : 3.603642 (0.0035)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 20
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 12.8026, df = 5, p-value = 0.03
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -0.516932
## | 0.4148
## |
## Calothri | 0.123079 0.640011
## | 0.4514 0.3947
## |
## Calothri | 0.910785 1.427717 0.787705
## | 0.3454 0.2025 0.3634
## |
## Calothri | -0.172310 0.344621 -0.295389 -1.083095
## | 0.4629 0.4577 0.4439 0.3064
## |
## Growth C | 2.978513 3.495445 2.855434 2.067728 3.150823
## | 0.0129* 0.0096* 0.0133* 0.0689 0.0123*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -0.516932 (0.4148)
## Calothrix [1] - Calothrix [1/2] : 0.123079 (0.4514)
## Calothrix [1/16] - Calothrix [1/2] : 0.640011 (0.3947)
## Calothrix [1] - Calothrix [1/4] : 0.910785 (0.3454)
## Calothrix [1/16] - Calothrix [1/4] : 1.427717 (0.2025)
## Calothrix [1/2] - Calothrix [1/4] : 0.787705 (0.3634)
## Calothrix [1] - Calothrix [1/8] : -0.172310 (0.4629)
## Calothrix [1/16] - Calothrix [1/8] : 0.344621 (0.4577)
## Calothrix [1/2] - Calothrix [1/8] : -0.295389 (0.4439)
## Calothrix [1/4] - Calothrix [1/8] : -1.083095 (0.3064)
## Calothrix [1] - Growth Control : 2.978513 (0.0129)*
## Calothrix [1/16] - Growth Control : 3.495445 (0.0096)*
## Calothrix [1/2] - Growth Control : 2.855434 (0.0133)*
## Calothrix [1/4] - Growth Control : 2.067728 (0.0689)
## Calothrix [1/8] - Growth Control : 3.150823 (0.0123)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 21.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 17.7119, df = 5, p-value = 0
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -2.329434
## | 0.0320
## |
## Calothri | -0.433383 1.896051
## | 0.3850 0.0619
## |
## Calothri | -0.162518 2.166915 0.270864
## | 0.4359 0.0396 0.4222
## |
## Calothri | -0.866766 1.462668 -0.433383 -0.704247
## | 0.2939 0.1269 0.4171 0.3312
## |
## Growth C | 2.735731 5.065165 3.169114 2.898250 3.602497
## | 0.0144* 0.0001* 0.0078* 0.0119* 0.0035*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -2.329434 (0.0320)
## Calothrix [1] - Calothrix [1/2] : -0.433383 (0.3850)
## Calothrix [1/16] - Calothrix [1/2] : 1.896051 (0.0619)
## Calothrix [1] - Calothrix [1/4] : -0.162518 (0.4359)
## Calothrix [1/16] - Calothrix [1/4] : 2.166915 (0.0396)
## Calothrix [1/2] - Calothrix [1/4] : 0.270864 (0.4222)
## Calothrix [1] - Calothrix [1/8] : -0.866766 (0.2939)
## Calothrix [1/16] - Calothrix [1/8] : 1.462668 (0.1269)
## Calothrix [1/2] - Calothrix [1/8] : -0.433383 (0.4171)
## Calothrix [1/4] - Calothrix [1/8] : -0.704247 (0.3312)
## Calothrix [1] - Growth Control : 2.735731 (0.0144)*
## Calothrix [1/16] - Growth Control : 5.065165 (0.0001)*
## Calothrix [1/2] - Growth Control : 3.169114 (0.0078)*
## Calothrix [1/4] - Growth Control : 2.898250 (0.0119)*
## Calothrix [1/8] - Growth Control : 3.602497 (0.0035)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 23
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 15.2667, df = 5, p-value = 0.01
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -1.133767
## | 0.2479
## |
## Calothri | 0.515349 1.649116
## | 0.3809 0.1348
## |
## Calothri | 0.489581 1.623349 -0.025767
## | 0.3620 0.1213 0.4898
## |
## Calothri | -0.206139 0.927628 -0.721488 -0.695721
## | 0.4488 0.2998 0.3565 0.3348
## |
## Growth C | 3.195164 4.328932 2.679815 2.705582 3.401303
## | 0.0073* 0.0009* 0.0166* 0.0194* 0.0062*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -1.133767 (0.2479)
## Calothrix [1] - Calothrix [1/2] : 0.515349 (0.3809)
## Calothrix [1/16] - Calothrix [1/2] : 1.649116 (0.1348)
## Calothrix [1] - Calothrix [1/4] : 0.489581 (0.3620)
## Calothrix [1/16] - Calothrix [1/4] : 1.623349 (0.1213)
## Calothrix [1/2] - Calothrix [1/4] : -0.025767 (0.4898)
## Calothrix [1] - Calothrix [1/8] : -0.206139 (0.4488)
## Calothrix [1/16] - Calothrix [1/8] : 0.927628 (0.2998)
## Calothrix [1/2] - Calothrix [1/8] : -0.721488 (0.3565)
## Calothrix [1/4] - Calothrix [1/8] : -0.695721 (0.3348)
## Calothrix [1] - Growth Control : 3.195164 (0.0073)*
## Calothrix [1/16] - Growth Control : 4.328932 (0.0009)*
## Calothrix [1/2] - Growth Control : 2.679815 (0.0166)*
## Calothrix [1/4] - Growth Control : 2.705582 (0.0194)*
## Calothrix [1/8] - Growth Control : 3.401303 (0.0062)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 24.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 11.4773, df = 5, p-value = 0.04
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | 0.168466
## | 0.4645
## |
## Calothri | -0.192533 -0.361000
## | 0.5785 0.5402
## |
## Calothri | -0.024066 -0.192533 0.168466
## | 0.4905 0.5303 0.5003
## |
## Calothri | -0.770134 -0.938601 -0.577601 -0.746067
## | 0.4781 0.4427 0.4726 0.4317
## |
## Growth C | 2.623271 2.454804 2.815804 2.647338 3.393405
## | 0.0238* 0.0286 0.0294* 0.0299* 0.0127*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : 0.168466 (0.4645)
## Calothrix [1] - Calothrix [1/2] : -0.192533 (0.5785)
## Calothrix [1/16] - Calothrix [1/2] : -0.361000 (0.5402)
## Calothrix [1] - Calothrix [1/4] : -0.024066 (0.4905)
## Calothrix [1/16] - Calothrix [1/4] : -0.192533 (0.5303)
## Calothrix [1/2] - Calothrix [1/4] : 0.168466 (0.5003)
## Calothrix [1] - Calothrix [1/8] : -0.770134 (0.4781)
## Calothrix [1/16] - Calothrix [1/8] : -0.938601 (0.4427)
## Calothrix [1/2] - Calothrix [1/8] : -0.577601 (0.4726)
## Calothrix [1/4] - Calothrix [1/8] : -0.746067 (0.4317)
## Calothrix [1] - Growth Control : 2.623271 (0.0238)*
## Calothrix [1/16] - Growth Control : 2.454804 (0.0286)
## Calothrix [1/2] - Growth Control : 2.815804 (0.0294)*
## Calothrix [1/4] - Growth Control : 2.647338 (0.0299)*
## Calothrix [1/8] - Growth Control : 3.393405 (0.0127)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 26
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 13.2088, df = 5, p-value = 0.02
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -1.239754
## | 0.2091
## |
## Calothri | 0.297540 1.537295
## | 0.4113 0.1425
## |
## Calothri | 0.396721 1.636475 0.099180
## | 0.4003 0.1381 0.4608
## |
## Calothri | -0.520696 0.719057 -0.818237 -0.917418
## | 0.3786 0.3251 0.3140 0.3042
## |
## Growth C | 2.628278 3.868032 2.330737 2.231557 3.148975
## | 0.0313 0.0033* 0.0478 0.0479 0.0123*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -1.239754 (0.2091)
## Calothrix [1] - Calothrix [1/2] : 0.297540 (0.4113)
## Calothrix [1/16] - Calothrix [1/2] : 1.537295 (0.1425)
## Calothrix [1] - Calothrix [1/4] : 0.396721 (0.4003)
## Calothrix [1/16] - Calothrix [1/4] : 1.636475 (0.1381)
## Calothrix [1/2] - Calothrix [1/4] : 0.099180 (0.4608)
## Calothrix [1] - Calothrix [1/8] : -0.520696 (0.3786)
## Calothrix [1/16] - Calothrix [1/8] : 0.719057 (0.3251)
## Calothrix [1/2] - Calothrix [1/8] : -0.818237 (0.3140)
## Calothrix [1/4] - Calothrix [1/8] : -0.917418 (0.3042)
## Calothrix [1] - Growth Control : 2.628278 (0.0313)
## Calothrix [1/16] - Growth Control : 3.868032 (0.0033)*
## Calothrix [1/2] - Growth Control : 2.330737 (0.0478)
## Calothrix [1/4] - Growth Control : 2.231557 (0.0479)
## Calothrix [1/8] - Growth Control : 3.148975 (0.0123)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 27.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 13.1936, df = 5, p-value = 0.02
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -1.239415
## | 0.2093
## |
## Calothri | 0.247883 1.487298
## | 0.4316 0.1560
## |
## Calothri | 0.396612 1.636028 0.148729
## | 0.4337 0.1382 0.4413
## |
## Calothri | -0.247883 0.991532 -0.495766 -0.644496
## | 0.4648 0.2734 0.4248 0.3925
## |
## Growth C | 2.701925 3.941341 2.454042 2.305312 2.949808
## | 0.0261 0.0027* 0.0358 0.0405 0.0208*
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## --------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -1.239415 (0.2093)
## Calothrix [1] - Calothrix [1/2] : 0.247883 (0.4316)
## Calothrix [1/16] - Calothrix [1/2] : 1.487298 (0.1560)
## Calothrix [1] - Calothrix [1/4] : 0.396612 (0.4337)
## Calothrix [1/16] - Calothrix [1/4] : 1.636028 (0.1382)
## Calothrix [1/2] - Calothrix [1/4] : 0.148729 (0.4413)
## Calothrix [1] - Calothrix [1/8] : -0.247883 (0.4648)
## Calothrix [1/16] - Calothrix [1/8] : 0.991532 (0.2734)
## Calothrix [1/2] - Calothrix [1/8] : -0.495766 (0.4248)
## Calothrix [1/4] - Calothrix [1/8] : -0.644496 (0.3925)
## Calothrix [1] - Growth Control : 2.701925 (0.0261)
## Calothrix [1/16] - Growth Control : 3.941341 (0.0027)*
## Calothrix [1/2] - Growth Control : 2.454042 (0.0358)
## Calothrix [1/4] - Growth Control : 2.305312 (0.0405)
## Calothrix [1/8] - Growth Control : 2.949808 (0.0208)*
##
## alpha = 0.05
## Reject Ho if p <= alpha/2
## Conover test for tiempo: 43.5
## Kruskal-Wallis rank sum test
##
## data: x and group
## Kruskal-Wallis chi-squared = 7.3104, df = 5, p-value = 0.2
##
##
## Comparison of x by group
## (Benjamini-Hochberg)
## Col Mean-|
## Row Mean | Calothri Calothri Calothri Calothri Calothri
## ---------+-------------------------------------------------------
## Calothri | -1.486329
## | 0.3647
## |
## Calothri | -0.563003 0.923325
## | 0.3606 0.3017
## |
## Calothri | -0.045040 1.441288 0.517963
## | 0.4822 0.2372 0.3506
## |
## Calothri | -1.283647 0.202681 -0.720644 -1.238607
## | 0.2593 0.4503 0.3244 0.2395
## |
## Growth C | 0.878285 2.364614 1.441288 0.923325 2.161933
## | 0.2892 0.1767 0.2965 0.3394 0.1401
##
##
## List of pairwise comparisons: t statistic (adjusted p-value)
## -------------------------------------------------------
## Calothrix [1] - Calothrix [1/16] : -1.486329 (0.3647)
## Calothrix [1] - Calothrix [1/2] : -0.563003 (0.3606)
## Calothrix [1/16] - Calothrix [1/2] : 0.923325 (0.3017)
## Calothrix [1] - Calothrix [1/4] : -0.045040 (0.4822)
## Calothrix [1/16] - Calothrix [1/4] : 1.441288 (0.2372)
## Calothrix [1/2] - Calothrix [1/4] : 0.517963 (0.3506)
## Calothrix [1] - Calothrix [1/8] : -1.283647 (0.2593)
## Calothrix [1/16] - Calothrix [1/8] : 0.202681 (0.4503)
## Calothrix [1/2] - Calothrix [1/8] : -0.720644 (0.3244)
## Calothrix [1/4] - Calothrix [1/8] : -1.238607 (0.2395)
## Calothrix [1] - Growth Control : 0.878285 (0.2892)
## Calothrix [1/16] - Growth Control : 2.364614 (0.1767)
## Calothrix [1/2] - Growth Control : 1.441288 (0.2965)
## Calothrix [1/4] - Growth Control : 0.923325 (0.3394)
## Calothrix [1/8] - Growth Control : 2.161933 (0.1401)
##
## alpha = 0.05
## Reject Ho if p <= alpha/2Complete Light Model
In this code, we are fitting a linear regression model using the lm
function in R. The model has peso_biomasa as the response
variable and Day, luz, nitrogeno,
and glucosa as explanatory variables, as well as the interactions
between luz, nitrogeno, and
glucosa. The * notation in R
indicates that all interactions between the mentioned variables will be
included. Therefore, the model will include terms for Day,
luz, nitrogeno, glucosa, and the
interactions between them.
lm1 <- lm(data = CaloGrowth, peso_biomasa ~ Day_N + luz + nitrogeno * glucosa)
plot(lm1)
- The assumption of linearity is not entirely met.
- The assumption of homoscedastcitiy is met.
- The assumption of normality of residuals is not met.
Transformed Light Model
Let’s attempt a square root transformation.
lm2 <- lm(data = CaloGrowth, sqrt(peso_biomasa) ~ Day_N + luz + nitrogeno * glucosa)
plot(lm2)
The residuals look better! Ok, time to separate by light
(luz).
Nost_Blanca <- droplevels(subset(CaloGrowth, CaloGrowth$luz == "Blanca"))
Nost_Oscuri <- droplevels(subset(CaloGrowth, CaloGrowth$luz == "Oscuridad"))
Nost_Roja <- droplevels(subset(CaloGrowth, CaloGrowth$luz == "Roja"))We can evaluate the model with the anova function. The
result will provide us with an analysis of the variance of the model
coefficients, allowing us to determine if any of the predictors
significantly contribute to explaining the variability in the response
variable. The obtained p-values will indicate the significance of each
term in the model in relation to the response variable.
White Light
lm_Blanca <- lm(data = Nost_Blanca, peso_biomasa ~ Day_N + nitrogeno * glucosa)
anova(lm_Blanca)## Analysis of Variance Table
##
## Response: peso_biomasa
## Df Sum Sq Mean Sq F value Pr(>F)
## Day_N 1 2.20676 2.20676 136.7046 < 2.2e-16 ***
## nitrogeno 1 0.41188 0.41188 25.5151 2.763e-06 ***
## glucosa 1 1.07395 1.07395 66.5292 4.318e-12 ***
## nitrogeno:glucosa 1 0.12236 0.12236 7.5801 0.00732 **
## Residuals 79 1.27526 0.01614
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1plot(allEffects(lm_Blanca))
What we can see from the summary function and the
effects graphs is a significant interaction between
glucose and nitrogen on biomass
(F1,79 = 7.58, p = 0.0073). We can obtain
further insight on the nature of the interaction by splitting the model
for each level of glucose and each level of nitrogen.
White Light x Nitrogen by Glucose
options(digits = 6)
Nost_Blanca$glucosa_factor <- as.factor(Nost_Blanca$glucosa)
models <- by(Nost_Blanca, Nost_Blanca$glucosa_factor, function(subset) {
lm(peso_biomasa ~ Day_N + nitrogeno, data = subset)
})
lapply(models, summary)## $`0`
##
## Call:
## lm(formula = peso_biomasa ~ Day_N + nitrogeno, data = subset)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.1343 -0.0472 -0.0209 0.0595 0.1963
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -0.0941 0.0248 -3.80 5e-04 ***
## Day_N 0.0118 0.0015 7.89 1.3e-09 ***
## nitrogeno0.2 0.2164 0.0240 9.00 4.6e-11 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.0779 on 39 degrees of freedom
## Multiple R-squared: 0.786, Adjusted R-squared: 0.775
## F-statistic: 71.6 on 2 and 39 DF, p-value: 8.73e-14
##
##
## $`0.3`
##
## Call:
## lm(formula = peso_biomasa ~ Day_N + nitrogeno, data = subset)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.2399 -0.0702 -0.0146 0.0928 0.3390
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.00652 0.04133 0.16 0.88
## Day_N 0.02867 0.00251 11.44 5e-14 ***
## nitrogeno0.2 0.06371 0.04010 1.59 0.12
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.13 on 39 degrees of freedom
## Multiple R-squared: 0.774, Adjusted R-squared: 0.762
## F-statistic: 66.7 on 2 and 39 DF, p-value: 2.59e-13White Light x Glucose by Nitrogen
Nost_Blanca$nitrogeno_factor <- as.factor(Nost_Blanca$nitrogeno)
models <- by(Nost_Blanca, Nost_Blanca$nitrogeno_factor, function(subset) {
lm(peso_biomasa ~ Day_N + glucosa, data = subset)
})
lapply(models, summary)## $`0`
##
## Call:
## lm(formula = peso_biomasa ~ Day_N + glucosa, data = subset)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.1942 -0.0693 -0.0246 0.0916 0.1903
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -0.10830 0.03425 -3.16 0.003 **
## Day_N 0.01303 0.00208 6.28 2.1e-07 ***
## glucosa0.3 0.30248 0.03322 9.10 3.4e-11 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.108 on 39 degrees of freedom
## Multiple R-squared: 0.758, Adjusted R-squared: 0.746
## F-statistic: 61.1 on 2 and 39 DF, p-value: 9.51e-13
##
##
## $`0.2`
##
## Call:
## lm(formula = peso_biomasa ~ Day_N + glucosa, data = subset)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.1884 -0.0782 -0.0338 0.0709 0.3438
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -0.06538 0.03751 -1.74 0.08925 .
## Day_N 0.02749 0.00227 12.08 9.3e-15 ***
## glucosa0.3 0.14981 0.03639 4.12 0.00019 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.118 on 39 degrees of freedom
## Multiple R-squared: 0.807, Adjusted R-squared: 0.797
## F-statistic: 81.5 on 2 and 39 DF, p-value: 1.18e-14When
Glucose = 0, addingNitrogen 0.2increasesbiomass0.216 ± 0.024 (t = 9.00, p = 4.6e-11).Biomassalso increases perDay0.012 ± 0.002 (t = 7.89, p = 1.3e-09).When
Glucose = 0.3, addingNitrogen 0.2does not have a significant effect onbiomass0.02 ± 0.045 (t = 1.59, p = 0.12).Biomassalso increases perDay0.031 ± 0.003 (t = 11.44, p = 5e-14).When
Nitrogen = 0, addingGlucose 0.3increasesbiomass0.302 ± 0.033 (t = 9.10, p = 3.4e-11).Biomassalso increases perDay0.013 ± 0.002 (t = 6.28, p = 2.1e-07).When
Nitrogen = 0.2, addingGlucose 0.3increasesbiomass0.15 ± 0.036 (t = 4.12, p = 0.00019).Biomassalso increases perDay0.027 ± 0.002 (t = 12.540, p = 2.92e-15).
Red Light
lm_Roja <- lm(data = Nost_Roja, peso_biomasa ~ Day_N + nitrogeno * glucosa)
anova(lm_Roja)## Analysis of Variance Table
##
## Response: peso_biomasa
## Df Sum Sq Mean Sq F value Pr(>F)
## Day_N 1 0.29792 0.29792 153.495 < 2e-16 ***
## nitrogeno 1 0.00924 0.00924 4.761 0.0321 *
## glucosa 1 0.07070 0.07070 36.428 4.86e-08 ***
## nitrogeno:glucosa 1 0.00002 0.00002 0.008 0.9272
## Residuals 79 0.15333 0.00194
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1plot(allEffects(lm_Roja))
- Under
Red Lightconditions, we do not have a significant interaction betweenNitrogenandGlucoseonBiomass(F1,79 = 0.008, p = 0.927). We can proceed with a model that does not the interaction so we can obtain coefficients for the main effects.
Red Light No Interaction
lm_Roja2 <- lm(data = Nost_Roja, peso_biomasa ~ Day_N + nitrogeno + glucosa)
summary(lm_Roja2)##
## Call:
## lm(formula = peso_biomasa ~ Day_N + nitrogeno + glucosa, data = Nost_Roja)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.10571 -0.03060 0.00139 0.02541 0.10696
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -0.017842 0.010945 -1.63 0.107
## Day_N 0.007444 0.000597 12.47 <2e-16 ***
## nitrogeno0.2 0.020976 0.009554 2.20 0.031 *
## glucosa0.3 0.058024 0.009554 6.07 4e-08 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.0438 on 80 degrees of freedom
## Multiple R-squared: 0.711, Adjusted R-squared: 0.7
## F-statistic: 65.7 on 3 and 80 DF, p-value: <2e-16Under
Red Lightconditions, CaloGrowthBiomass (g/l)increases per day 0.007 ± 0.001 (t = 12.47, p < 2e-16).Under
Red Lightconditions, CaloGrowthBiomass (g/l)is affected whenNitrogen 0.2is added 0.021 ± 0.009 (t = 2.20, p = 0.031).Under
Red Lightconditions, CaloGrowthBiomass (g/l)increases whenGlucose 0.3is added 0.058 ± 0.01 (t = 6.07, p = 4e-08).
No Light
lm_Oscu <- lm(data = Nost_Oscuri, peso_biomasa ~ Day_N + nitrogeno * glucosa)
anova(lm_Oscu)## Analysis of Variance Table
##
## Response: peso_biomasa
## Df Sum Sq Mean Sq F value Pr(>F)
## Day_N 1 0.1103 0.11027 16.959 9.33e-05 ***
## nitrogeno 1 0.0079 0.00795 1.222 0.272
## glucosa 1 0.0090 0.00903 1.389 0.242
## nitrogeno:glucosa 1 0.0102 0.01019 1.567 0.214
## Residuals 79 0.5137 0.00650
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1plot(allEffects(lm_Oscu))
- Under
No Lightconditions, we do not have a significant interaction betweenNitrogenandGlucoseonBiomass(F1,79 = 1.567, p = 0.214). We can proceed with a model that does not the interaction so we can obtain coefficients for the main effects.
No Light No Interaction
lm_Oscu2 <- lm(data = Nost_Oscuri, peso_biomasa ~ Day_N + nitrogeno + glucosa)
summary(lm_Oscu2)##
## Call:
## lm(formula = peso_biomasa ~ Day_N + nitrogeno + glucosa, data = Nost_Oscuri)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.15322 -0.06518 -0.00802 0.06304 0.18382
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.05552 0.02023 2.74 0.0075 **
## Day_N 0.00453 0.00110 4.10 9.7e-05 ***
## nitrogeno0.2 0.01945 0.01766 1.10 0.2739
## glucosa0.3 0.02074 0.01766 1.17 0.2437
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.0809 on 80 degrees of freedom
## Multiple R-squared: 0.195, Adjusted R-squared: 0.165
## F-statistic: 6.48 on 3 and 80 DF, p-value: 0.000557Under
No Lightconditions, CaloGrowthBiomass (g/l)increases per day 0.005 ± 0.001 (t = 4.104, p = 9.7e-05).Under
No Lightconditions, CaloGrowthBiomass (g/l)is not affected whenNitrogen 0.2is added 0.019 ± 0.018 (t = 1.102, p = 0.274).Under
No Lightconditions, CaloGrowthBiomass (g/l)is not affected whenGlucose 0.3is added 0.021 ± 0.018 (t = 1.174, p = 0.244).
Package Report
Below you will find the specifications on the software and R packages used to create this report.
## Analyses were conducted using the R Statistical language (version 4.4.1; R Core
## Team, 2024) on macOS Sonoma 14.1.2, using the packages conover.test (version
## 1.1.6; Dinno A, 2024), effects (version 4.2.2; Fox J, Weisberg S, 2019),
## carData (version 3.0.5; Fox J et al., 2022), Rmisc (version 1.5.1; Hope RM,
## 2022), report (version 0.5.8; Makowski D et al., 2023), lattice (version
## 0.22.6; Sarkar D, 2008), png (version 0.1.8; Urbanek S, 2022), reshape2
## (version 1.4.4; Wickham H, 2007), plyr (version 1.8.9; Wickham H, 2011),
## ggplot2 (version 3.5.1; Wickham H, 2016), readxl (version 1.4.3; Wickham H,
## Bryan J, 2023), dplyr (version 1.1.4; Wickham H et al., 2023) and kableExtra
## (version 1.4.0; Zhu H, 2024).
##
## References
## ----------
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## Using Rank Sums_. R package version 1.1.6,
## <https://CRAN.R-project.org/package=conover.test>.
## - Fox J, Weisberg S (2019). _An R Companion to Applied Regression_, 3rd
## edition. Sage, Thousand Oaks CA.
## <https://socialsciences.mcmaster.ca/jfox/Books/Companion/index.html>. Fox J,
## Weisberg S (2018). "Visualizing Fit and Lack of Fit in Complex Regression
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## Computing_. R Foundation for Statistical Computing, Vienna, Austria.
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## New York. ISBN 978-0-387-75968-5, <http://lmdvr.r-forge.r-project.org>.
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